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Showing content from https://www.cplusplus.com/intmax_t below:

header

<cstdint> (stdint.h)

Integer types

This header defines a set of integral type aliases with specific width requirements, along with macros specifying their limits and macro functions to create values of these types.

Types The following are typedefs of fundamental integral types or extended integral types.

signed type unsigned type description intmax_t uintmax_t Integer type with the maximum width supported. int8_t uint8_t Integer type with a width of exactly 8, 16, 32, or 64 bits.
For signed types, negative values are represented using 2's complement.
No padding bits.
Optional: These typedefs are not defined if no types with such characteristics exist.* int16_t uint16_t int32_t uint32_t int64_t uint64_t int_least8_t uint_least8_t Integer type with a minimum of 8, 16, 32, or 64 bits.
No other integer type exists with lesser size and at least the specified width. int_least16_t uint_least16_t int_least32_t uint_least32_t int_least64_t uint_least64_t int_fast8_t uint_fast8_t Integer type with a minimum of 8, 16, 32, or 64 bits.
At least as fast as any other integer type with at least the specified width. int_fast16_t uint_fast16_t int_fast32_t uint_fast32_t int_fast64_t uint_fast64_t intptr_t uintptr_t Integer type capable of holding a value converted from a void pointer and then be converted back to that type with a value that compares equal to the original pointer.
Optional: These typedefs may not be defined in some library implementations.*

Some of these typedefs may denote the same types. Therefore, function overloads should not rely on these being different.

* Notice that some types are optional (and thus, with no portability guarantees). A particular library implementation may also define additional types with other widths supported by its system. In any case, if either the signed or the unsigned version is defined, both the signed and unsigned versions are defined.

Macros
Limits of cstdint types Macro description defined as INTMAX_MIN Minimum value of intmax_t -(2⁶³-1), or lower INTMAX_MAX Maximum value of intmax_t 2⁶³-1, or higher UINTMAX_MAX Maximum value of uintmax_t 2⁶⁴-1, or higher INTN_MIN Minimum value of exact-width signed type Exactly -2^(N-1) INTN_MAX Maximum value of exact-width signed type Exactly 2^(N-1)-1 UINTN_MAX Maximum value of exact-width unsigned type Exactly 2^N-1 INT_LEASTN_MIN Minimum value of minimum-width signed type -(2^(N-1)-1), or lower INT_LEASTN_MAX Maximum value of minimum-width signed type 2^(N-1)-1, or higher UINT_LEASTN_MAX Maximum value of minimum-width unsigned type 2^N-1, or higher INT_FASTN_MIN Minimum value of fastest minimum-width signed type -(2^(N-1)-1), or lower INT_FASTN_MAX Maximum value of fastest minimum-width signed type 2^(N-1)-1, or higher UINT_FASTN_MAX Maximum value of fastest minimum-width unsigned type 2^N-1, or higher INTPTR_MIN Minimum value of intptr_t -(2¹⁵-1), or lower INTPTR_MAX Maximum value of intptr_t 2¹⁵-1, or higher UINTPTR_MAX Maximum value of uintptr_t 2¹⁶-1, or higher Where N is one in 8, 16, 32, 64, or any other type width supported by the library.

Only the macros corresponding to types supported by the library are defined.

Limits of other types Limits of other standard integral types:

Macro description defined as SIZE_MAX Maximum value of size_t 2⁶⁴-1, or higher PTRDIFF_MIN Minimum value of ptrdiff_t -(2¹⁶-1), or lower PTRDIFF_MAX Maximum value of ptrdiff_t 2¹⁶-1, or higher SIG_ATOMIC_MIN Minimum value of sig_atomic_t if sig_atomic_t is signed: -127, or lower
if sig_atomic_t is unsigned: 0 SIG_ATOMIC_MAX Maximum value of sig_atomic_t if sig_atomic_t is signed: 127, or higher
if sig_atomic_t is unsigned: 255, or higher WCHAR_MIN Minimum value of wchar_t if wchar_t is signed: -127, or lower
if wchar_t is unsigned: 0 WCHAR_MAX Maximum value of wchar_t if wchar_t is signed: 127, or higher
if wchar_t is unsigned: 255, or higher WINT_MIN Minimum value of wint_t if wint_t is signed: -32767, or lower
if wint_t is unsigned: 0 WINT_MAX Maximum value of wint_t if wint_t is signed: 32767, or higher
if wint_t is unsigned: 65535, or higher
Function-like macros These function-like macros expand to integer constants suitable to initialize objects of the types above:
Macro description INTMAX_C expands to a value of type intmax_t UINTMAX_C expands to a value of type uintmax_t INTN_C expands to a value of type int_leastN_t UINTN_C expands to a value of type uint_leastN_t
For example:

INTMAX_C(2012)  // expands to 2012LL or similar

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