113892584256 has 336 divisors, whose sum is σ = 364223808000. Its totient is φ = 33735398400.

The previous prime is 113892584219. The next prime is 113892584287. The reversal of 113892584256 is 652485298311.

113892584256 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 9 + 2 + 584 + 2 + 56 = 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, 74390211 + ... + 74391741.

Almost surely, 2^113892584256 is an apocalyptic number.

113892584256 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 113892584256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182111904000).

113892584256 is an abundant number, since it is smaller than the sum of its proper divisors (250331223744).

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

113892584256 is a wasteful number, since it uses less digits than its factorization.

113892584256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 1805 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The spelling of 113892584256 in words is "one hundred thirteen billion, eight hundred ninety-two million, five hundred eighty-four thousand, two hundred fifty-six".