112665002928624 has 240 divisors, whose sum is σ = 326827485257728. Its totient is φ = 36202260745728.

The previous prime is 112665002928551. The next prime is 112665002928799. The reversal of 112665002928624 is 426829200566211.

112665002928624 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 6 + 5 + 0 + 0 + 2 + 9 + 2 + 8 + 624 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 491814399 + ... + 492043425.

Almost surely, 2^{112665002928624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112665002928624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163413742628864).

112665002928624 is an abundant number, since it is smaller than the sum of its proper divisors (214162482329104).

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

112665002928624 is a wasteful number, since it uses less digits than its factorization.

112665002928624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229932 (or 229923 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 112665002928624 in words is "one hundred twelve trillion, six hundred sixty-five billion, two million, nine hundred twenty-eight thousand, six hundred twenty-four".