113818464 has 72 divisors (see below), whose sum is σ = 325378872. Its totient is φ = 37739520.

The previous prime is 113818447. The next prime is 113818477. The reversal of 113818464 is 464818311.

It is a happy number.

113818464 is a `hidden beast` number, since 113 + 81 + 8 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59832 + ... + 61704.

It is an arithmetic number, because the mean of its divisors is an integer number (4519151).

Almost surely, 2^113818464 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 113818464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162689436).

113818464 is an abundant number, since it is smaller than the sum of its proper divisors (211560408).

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

113818464 is a wasteful number, since it uses less digits than its factorization.

113818464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100 (or 2089 counting only the distinct ones).

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

The square root of 113818464 is about 10668.5736628661. The cubic root of 113818464 is about 484.6232437356.

The spelling of 113818464 in words is "one hundred thirteen million, eight hundred eighteen thousand, four hundred sixty-four".