113914368 has 120 divisors (see below), whose sum is σ = 335134800. Its totient is φ = 37238784.

The previous prime is 113914363. The next prime is 113914387. The reversal of 113914368 is 863419311.

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 not an unprimeable number, because it can be changed into a prime (113914363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 271663 + ... + 272081.

It is an arithmetic number, because the mean of its divisors is an integer number (2792790).

Almost surely, 2^113914368 is an apocalyptic number.

113914368 is a gapful number since it is divisible by the number (18) 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 113914368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167567400).

113914368 is an abundant number, since it is smaller than the sum of its proper divisors (221220432).

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

113914368 is an equidigital number, since it uses as much as digits as its factorization.

113914368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 483 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 113914368 is about 10673.0674128856. The cubic root of 113914368 is about 484.7593208360.

The spelling of 113914368 in words is "one hundred thirteen million, nine hundred fourteen thousand, three hundred sixty-eight".