113885856 has 144 divisors (see below), whose sum is σ = 392019264. Its totient is φ = 30615552.

The previous prime is 113885843. The next prime is 113885869. The reversal of 113885856 is 658588311.

It is an interprime number because it is at equal distance from previous prime (113885843) and next prime (113885869).

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 32611 + ... + 35933.

It is an arithmetic number, because the mean of its divisors is an integer number (2722356).

Almost surely, 2^113885856 is an apocalyptic number.

113885856 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 113885856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196009632).

113885856 is an abundant number, since it is smaller than the sum of its proper divisors (278133408).

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

113885856 is a wasteful number, since it uses less digits than its factorization.

113885856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3363 (or 3352 counting only the distinct ones).

The product of its digits is 230400, while the sum is 45.

The square root of 113885856 is about 10671.7316308086. The cubic root of 113885856 is about 484.7188734622.

The spelling of 113885856 in words is "one hundred thirteen million, eight hundred eighty-five thousand, eight hundred fifty-six".