113922158400 has 420 divisors, whose sum is σ = 419775790368. Its totient is φ = 30304834560.

The previous prime is 113922158359. The next prime is 113922158459. The reversal of 113922158400 is 4851229311.

113922158400 is a `hidden beast` number, since 1 + 1 + 39 + 2 + 215 + 8 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 70890397 + ... + 70892003.

Almost surely, 2^113922158400 is an apocalyptic number.

113922158400 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 113922158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209887895184).

113922158400 is an abundant number, since it is smaller than the sum of its proper divisors (305853631968).

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

113922158400 is a wasteful number, since it uses less digits than its factorization.

113922158400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 113922158400 in words is "one hundred thirteen billion, nine hundred twenty-two million, one hundred fifty-eight thousand, four hundred".