113547972736 has 128 divisors (see below), whose sum is σ = 257604851520. Its totient is φ = 49393152000.

The previous prime is 113547972731. The next prime is 113547972757. The reversal of 113547972736 is 637279745311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×113547972736² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113547972731) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3159991 + ... + 3195721.

Almost surely, 2^113547972736 is an apocalyptic number.

113547972736 is a gapful number since it is divisible by the number (16) 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 113547972736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128802425760).

113547972736 is an abundant number, since it is smaller than the sum of its proper divisors (144056878784).

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

113547972736 is a wasteful number, since it uses less digits than its factorization.

113547972736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35854 (or 35842 counting only the distinct ones).

The product of its digits is 6667920, while the sum is 55.

The spelling of 113547972736 in words is "one hundred thirteen billion, five hundred forty-seven million, nine hundred seventy-two thousand, seven hundred thirty-six".