113950944 has 72 divisors (see below), whose sum is σ = 327468960. Its totient is φ = 37582848.

The previous prime is 113950939. The next prime is 113950951. The reversal of 113950944 is 449059311.

It is a happy number.

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

It is a super-2 number, since 2×113950944² = 25969635276982272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 113950899 and 113950908.

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 11 ways as a sum of consecutive naturals, for example, 25897 + ... + 29975.

It is an arithmetic number, because the mean of its divisors is an integer number (4548180).

Almost surely, 2^113950944 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 113950944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163734480).

113950944 is an abundant number, since it is smaller than the sum of its proper divisors (213518016).

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

113950944 is a wasteful number, since it uses less digits than its factorization.

113950944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4192 (or 4181 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 113950944 is about 10674.7807471629. The cubic root of 113950944 is about 484.8111979899.

The spelling of 113950944 in words is "one hundred thirteen million, nine hundred fifty thousand, nine hundred forty-four".