112617907750656 has 1296 divisors, whose sum is σ = 414130828919808. Its totient is φ = 28807393443840.

The previous prime is 112617907750643. The next prime is 112617907750721. The reversal of 112617907750656 is 656057709716211.

112617907750656 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 1 + 7 + 9 + 0 + 77 + 506 + 56 = 666.

It is a super-2 number, since 2×112617907750656² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 112617907750593 and 112617907750602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38793628501 + ... + 38793631403.

Almost surely, 2^{112617907750656} is an apocalyptic number.

112617907750656 is a gapful number since it is divisible by the number (16) 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 112617907750656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207065414459904).

112617907750656 is an abundant number, since it is smaller than the sum of its proper divisors (301512921169152).

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

112617907750656 is a wasteful number, since it uses less digits than its factorization.

112617907750656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3250 (or 3222 counting only the distinct ones).

The product of its (nonzero) digits is 33339600, while the sum is 63.

The spelling of 112617907750656 in words is "one hundred twelve trillion, six hundred seventeen billion, nine hundred seven million, seven hundred fifty thousand, six hundred fifty-six".