113187346272 has 384 divisors, whose sum is σ = 443254533120. Its totient is φ = 27137617920.

The previous prime is 113187346253. The next prime is 113187346273. The reversal of 113187346272 is 272643781311.

113187346272 is a `hidden beast` number, since 1 + 1 + 3 + 18 + 7 + 3 + 4 + 627 + 2 = 666.

It is a super-2 number, since 2×113187346272² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113187346273) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 799428 + ... + 930300.

It is an arithmetic number, because the mean of its divisors is an integer number (1154308680).

Almost surely, 2^113187346272 is an apocalyptic number.

113187346272 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 113187346272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221627266560).

113187346272 is an abundant number, since it is smaller than the sum of its proper divisors (330067186848).

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

113187346272 is a wasteful number, since it uses less digits than its factorization.

113187346272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130923 (or 130909 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The spelling of 113187346272 in words is "one hundred thirteen billion, one hundred eighty-seven million, three hundred forty-six thousand, two hundred seventy-two".