113904252596400 has 360 divisors, whose sum is σ = 428411232515520. Its totient is φ = 25791936145920.

The previous prime is 113904252596383. The next prime is 113904252596419. The reversal of 113904252596400 is 4695252409311.

It is a super-2 number, since 2×113904252596400² (a number of 29 digits) contains 22 as substring.

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, 2760490 + ... + 15343689.

It is an arithmetic number, because the mean of its divisors is an integer number (1190031201432).

Almost surely, 2^{113904252596400} is an apocalyptic number.

113904252596400 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 113904252596400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214205616257760).

113904252596400 is an abundant number, since it is smaller than the sum of its proper divisors (314506979919120).

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

113904252596400 is a wasteful number, since it uses less digits than its factorization.

113904252596400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18104321 (or 18104303 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 51.

The spelling of 113904252596400 in words is "one hundred thirteen trillion, nine hundred four billion, two hundred fifty-two million, five hundred ninety-six thousand, four hundred".