112261857264 has 240 divisors, whose sum is σ = 322296832000. Its totient is φ = 36471181824.

The previous prime is 112261857259. The next prime is 112261857299. The reversal of 112261857264 is 462758162211.

112261857264 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 6 + 18 + 572 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 396684867 + ... + 396685149.

Almost surely, 2^112261857264 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 112261857264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161148416000).

112261857264 is an abundant number, since it is smaller than the sum of its proper divisors (210034974736).

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

112261857264 is a wasteful number, since it uses less digits than its factorization.

112261857264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 723 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 112261857264 in words is "one hundred twelve billion, two hundred sixty-one million, eight hundred fifty-seven thousand, two hundred sixty-four".