112755496075264 has 480 divisors, whose sum is σ = 273896737931264. Its totient is φ = 45388867829760.

The previous prime is 112755496075241. The next prime is 112755496075267. The reversal of 112755496075264 is 462570694557211.

It is a happy number.

112755496075264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 112755496075196 and 112755496075205.

It is not an unprimeable number, because it can be changed into a prime (112755496075267) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71956282609 + ... + 71956284175.

Almost surely, 2^{112755496075264} is an apocalyptic number.

112755496075264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112755496075264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136948368965632).

112755496075264 is an abundant number, since it is smaller than the sum of its proper divisors (161141241856000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112755496075264 is an equidigital number, since it uses as much as digits as its factorization.

112755496075264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2217 (or 2191 counting only the distinct ones).

The product of its (nonzero) digits is 127008000, while the sum is 64.

The spelling of 112755496075264 in words is "one hundred twelve trillion, seven hundred fifty-five billion, four hundred ninety-six million, seventy-five thousand, two hundred sixty-four".