113342152704000 has 736 divisors, whose sum is σ = 411556602143232. Its totient is φ = 27472691200000.

The previous prime is 113342152703993. The next prime is 113342152704061. The reversal of 113342152704000 is 407251243311.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17301500725 + ... + 17301507275.

Almost surely, 2^{113342152704000} is an apocalyptic number.

113342152704000 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 113342152704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205778301071616).

113342152704000 is an abundant number, since it is smaller than the sum of its proper divisors (298214449439232).

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

113342152704000 is an frugal number, since it uses more digits than its factorization.

113342152704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6624 (or 6572 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 113342152704000 in words is "one hundred thirteen trillion, three hundred forty-two billion, one hundred fifty-two million, seven hundred four thousand".