113956864 has 48 divisors (see below), whose sum is σ = 260442000. Its totient is φ = 48832512.

The previous prime is 113956853. The next prime is 113956867. The reversal of 113956864 is 468659311.

It is a self number, because there is not a number n which added to its sum of digits gives 113956864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113956867) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10362 + ... + 18310.

It is an arithmetic number, because the mean of its divisors is an integer number (5425875).

Almost surely, 2^113956864 is an apocalyptic number.

113956864 is a gapful number since it is divisible by the number (14) 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 113956864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130221000).

113956864 is an abundant number, since it is smaller than the sum of its proper divisors (146485136).

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

113956864 is an frugal number, since it uses more digits than its factorization.

113956864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7978 (or 7958 counting only the distinct ones).

The product of its digits is 155520, while the sum is 43.

The square root of 113956864 is about 10675.0580326291. The cubic root of 113956864 is about 484.8195935108.

The spelling of 113956864 in words is "one hundred thirteen million, nine hundred fifty-six thousand, eight hundred sixty-four".