113885325972 has 96 divisors (see below), whose sum is σ = 322394083200. Its totient is φ = 34479187200.

The previous prime is 113885325947. The next prime is 113885325973. The reversal of 113885325972 is 279523588311.

113885325972 is a `hidden beast` number, since 1 + 1 + 38 + 8 + 532 + 5 + 9 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113885325973) by changing a digit.

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, 1274272 + ... + 1360712.

It is an arithmetic number, because the mean of its divisors is an integer number (3358271700).

Almost surely, 2^113885325972 is an apocalyptic number.

113885325972 is a gapful number since it is divisible by the number (12) 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 113885325972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161197041600).

113885325972 is an abundant number, since it is smaller than the sum of its proper divisors (208508757228).

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

113885325972 is a wasteful number, since it uses less digits than its factorization.

113885325972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87574 (or 87566 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 113885325972 in words is "one hundred thirteen billion, eight hundred eighty-five million, three hundred twenty-five thousand, nine hundred seventy-two".