113201588325168 has 360 divisors, whose sum is σ = 390270928686912. Its totient is φ = 30435942813696.

The previous prime is 113201588325167. The next prime is 113201588325181. The reversal of 113201588325168 is 861523885102311.

113201588325168 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 0 + 1 + 588 + 3 + 2 + 51 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (113201588325167) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 792451446 + ... + 792594282.

Almost surely, 2^{113201588325168} is an apocalyptic number.

113201588325168 is a gapful number since it is divisible by the number (18) 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 113201588325168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195135464343456).

113201588325168 is an abundant number, since it is smaller than the sum of its proper divisors (277069340361744).

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

113201588325168 is a wasteful number, since it uses less digits than its factorization.

113201588325168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149489 (or 149473 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 113201588325168 in words is "one hundred thirteen trillion, two hundred one billion, five hundred eighty-eight million, three hundred twenty-five thousand, one hundred sixty-eight".