113864672 has 36 divisors (see below), whose sum is σ = 232222536. Its totient is φ = 54956160.

The previous prime is 113864669. The next prime is 113864677. The reversal of 113864672 is 276468311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113864677) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24797 + ... + 29027.

It is an arithmetic number, because the mean of its divisors is an integer number (6450626).

Almost surely, 2^113864672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113864672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116111268).

113864672 is an abundant number, since it is smaller than the sum of its proper divisors (118357864).

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

113864672 is an equidigital number, since it uses as much as digits as its factorization.

113864672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4299 (or 4262 counting only the distinct ones).

The product of its digits is 48384, while the sum is 38.

The square root of 113864672 is about 10670.7390559417. The cubic root of 113864672 is about 484.6888172823.

It can be divided in two parts, 11 and 3864672, that added together give a palindrome (3864683).

The spelling of 113864672 in words is "one hundred thirteen million, eight hundred sixty-four thousand, six hundred seventy-two".