113955744 has 96 divisors (see below), whose sum is σ = 347106816. Its totient is φ = 32060160.

The previous prime is 113955733. The next prime is 113955767. The reversal of 113955744 is 447559311.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 43759 + ... + 46289.

It is an arithmetic number, because the mean of its divisors is an integer number (3615696).

Almost surely, 2^113955744 is an apocalyptic number.

113955744 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 113955744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173553408).

113955744 is an abundant number, since it is smaller than the sum of its proper divisors (233151072).

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

113955744 is a wasteful number, since it uses less digits than its factorization.

113955744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2618 (or 2610 counting only the distinct ones).

The product of its digits is 75600, while the sum is 39.

The square root of 113955744 is about 10675.0055737690. The cubic root of 113955744 is about 484.8180051913.

The spelling of 113955744 in words is "one hundred thirteen million, nine hundred fifty-five thousand, seven hundred forty-four".