112657494528 has 240 divisors, whose sum is σ = 339999042240. Its totient is φ = 35843039232.

The previous prime is 112657494527. The next prime is 112657494563. The reversal of 112657494528 is 825494756211.

112657494528 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 574 + 9 + 45 + 28 = 666.

112657494528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112657494528² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112657494527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69842650 + ... + 69844262.

It is an arithmetic number, because the mean of its divisors is an integer number (1416662676).

Almost surely, 2^112657494528 is an apocalyptic number.

112657494528 is a gapful number since it is divisible by the number (18) 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 112657494528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169999521120).

112657494528 is an abundant number, since it is smaller than the sum of its proper divisors (227341547712).

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

112657494528 is a wasteful number, since it uses less digits than its factorization.

112657494528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2319 (or 2300 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 112657494528 in words is "one hundred twelve billion, six hundred fifty-seven million, four hundred ninety-four thousand, five hundred twenty-eight".