113502409272 has 192 divisors, whose sum is σ = 365628506880. Its totient is φ = 32313572352.

The previous prime is 113502409261. The next prime is 113502409277. The reversal of 113502409272 is 272904205311.

113502409272 is a `hidden beast` number, since 11 + 350 + 24 + 0 + 9 + 272 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113502409277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3836328 + ... + 3865800.

It is an arithmetic number, because the mean of its divisors is an integer number (1904315140).

Almost surely, 2^113502409272 is an apocalyptic number.

113502409272 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 113502409272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182814253440).

113502409272 is an abundant number, since it is smaller than the sum of its proper divisors (252126097608).

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

113502409272 is a wasteful number, since it uses less digits than its factorization.

113502409272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29784 (or 29768 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 113502409272 in words is "one hundred thirteen billion, five hundred two million, four hundred nine thousand, two hundred seventy-two".