113953856 has 84 divisors (see below), whose sum is σ = 246566436. Its totient is φ = 52224000.

The previous prime is 113953831. The next prime is 113953877. The reversal of 113953856 is 658359311.

It can be written as a sum of positive squares in 6 ways, for example, as 9096256 + 104857600 = 3016^2 + 10240^2 .

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, 1128206 + ... + 1128306.

Almost surely, 2^113953856 is an apocalyptic number.

113953856 is a gapful number since it is divisible by the number (16) 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 113953856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123283218).

113953856 is an abundant number, since it is smaller than the sum of its proper divisors (132612580).

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

113953856 is a wasteful number, since it uses less digits than its factorization.

113953856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 181 counting only the distinct ones).

The product of its digits is 97200, while the sum is 41.

The square root of 113953856 is about 10674.9171425356. The cubic root of 113953856 is about 484.8153277149.

It can be divided in two parts, 11395 and 3856, that added together give a palindrome (15251).

The spelling of 113953856 in words is "one hundred thirteen million, nine hundred fifty-three thousand, eight hundred fifty-six".