113484672 has 128 divisors (see below), whose sum is σ = 382867200. Its totient is φ = 32417280.

The previous prime is 113484653. The next prime is 113484689. The reversal of 113484672 is 276484311.

113484672 is a `hidden beast` number, since 113 + 484 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21847 + ... + 26537.

It is an arithmetic number, because the mean of its divisors is an integer number (2991150).

Almost surely, 2^113484672 is an apocalyptic number.

113484672 is a gapful number since it is divisible by the number (12) 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 113484672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191433600).

113484672 is an abundant number, since it is smaller than the sum of its proper divisors (269382528).

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

113484672 is an equidigital number, since it uses as much as digits as its factorization.

113484672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4721 (or 4703 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 113484672 is about 10652.9184733574. The cubic root of 113484672 is about 484.1490331752.

The spelling of 113484672 in words is "one hundred thirteen million, four hundred eighty-four thousand, six hundred seventy-two".