113814864 has 120 divisors (see below), whose sum is σ = 355155840. Its totient is φ = 33813504.

The previous prime is 113814863. The next prime is 113814887. The reversal of 113814864 is 468418311.

It is a happy number.

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

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 (113814863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45289 + ... + 47735.

It is an arithmetic number, because the mean of its divisors is an integer number (2959632).

Almost surely, 2^113814864 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 113814864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177577920).

113814864 is an abundant number, since it is smaller than the sum of its proper divisors (241340976).

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

113814864 is a wasteful number, since it uses less digits than its factorization.

113814864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2497 (or 2488 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 113814864 is about 10668.4049416958. The cubic root of 113814864 is about 484.6181342480.

The spelling of 113814864 in words is "one hundred thirteen million, eight hundred fourteen thousand, eight hundred sixty-four".