112015617981696 has 1728 divisors, whose sum is σ = 394914467001600. Its totient is φ = 30262925721600.

The previous prime is 112015617981653. The next prime is 112015617981703. The reversal of 112015617981696 is 696189716510211.

112015617981696 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 1 + 5 + 617 + 9 + 8 + 1 + 6 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 317324696656 + ... + 317324697008.

It is an arithmetic number, because the mean of its divisors is an integer number (228538464700).

Almost surely, 2^{112015617981696} is an apocalyptic number.

112015617981696 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 112015617981696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197457233500800).

112015617981696 is an abundant number, since it is smaller than the sum of its proper divisors (282898849019904).

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

112015617981696 is a wasteful number, since it uses less digits than its factorization.

112015617981696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 63.

The spelling of 112015617981696 in words is "one hundred twelve trillion, fifteen billion, six hundred seventeen million, nine hundred eighty-one thousand, six hundred ninety-six".