113858096000 has 384 divisors, whose sum is σ = 324809110080. Its totient is φ = 39587328000.

The previous prime is 113858095999. The next prime is 113858096063. The reversal of 113858096000 is 690858311.

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, 44526722 + ... + 44529278.

Almost surely, 2^113858096000 is an apocalyptic number.

113858096000 is a gapful number since it is divisible by the number (10) 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 113858096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162404555040).

113858096000 is an abundant number, since it is smaller than the sum of its proper divisors (210951014080).

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

113858096000 is a wasteful number, since it uses less digits than its factorization.

113858096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 41.

It can be divided in two parts, 11385 and 8096000, that multiplied together give a square (92172960000 = 303600²).

The spelling of 113858096000 in words is "one hundred thirteen billion, eight hundred fifty-eight million, ninety-six thousand".