113983905024 has 648 divisors, whose sum is σ = 394826970720. Its totient is φ = 32681594880.

The previous prime is 113983905017. The next prime is 113983905083. The reversal of 113983905024 is 420509389311.

It is a happy number.

113983905024 is a `hidden beast` number, since 1 + 139 + 8 + 3 + 9 + 0 + 502 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 143015794 + ... + 143016590.

Almost surely, 2^113983905024 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 113983905024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197413485360).

113983905024 is an abundant number, since it is smaller than the sum of its proper divisors (280843065696).

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

113983905024 is an equidigital number, since it uses as much as digits as its factorization.

113983905024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 113983905024 in words is "one hundred thirteen billion, nine hundred eighty-three million, nine hundred five thousand, twenty-four".