112368076314624 has 144 divisors (see below), whose sum is σ = 349504222485600. Its totient is φ = 34574792638464.

The previous prime is 112368076314589. The next prime is 112368076314677. The reversal of 112368076314624 is 426413670863211.

112368076314624 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 6 + 8 + 0 + 7 + 6 + 3 + 1 + 4 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×112368076314624² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 234235704 + ... + 234714935.

It is an arithmetic number, because the mean of its divisors is an integer number (2427112656150).

Almost surely, 2^{112368076314624} is an apocalyptic number.

It is an amenable number.

112368076314624 is an abundant number, since it is smaller than the sum of its proper divisors (237136146170976).

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

112368076314624 is a wasteful number, since it uses less digits than its factorization.

112368076314624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468950680 (or 468950657 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 112368076314624 in words is "one hundred twelve trillion, three hundred sixty-eight billion, seventy-six million, three hundred fourteen thousand, six hundred twenty-four".