113407556750400 has 336 divisors, whose sum is σ = 405917182494720. Its totient is φ = 27491303270400.

The previous prime is 113407556750359. The next prime is 113407556750503. The reversal of 113407556750400 is 4057655704311.

It is a super-2 number, since 2×113407556750400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 113407556750400.

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, 1290335257 + ... + 1290423143.

Almost surely, 2^{113407556750400} is an apocalyptic number.

113407556750400 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 113407556750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202958591247360).

113407556750400 is an abundant number, since it is smaller than the sum of its proper divisors (292509625744320).

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

113407556750400 is a wasteful number, since it uses less digits than its factorization.

113407556750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112362 (or 112347 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 48.

The spelling of 113407556750400 in words is "one hundred thirteen trillion, four hundred seven billion, five hundred fifty-six million, seven hundred fifty thousand, four hundred".