113847968 has 48 divisors (see below), whose sum is σ = 249729480. Its totient is φ = 50727936.

The previous prime is 113847949. The next prime is 113847971. The reversal of 113847968 is 869748311.

It can be written as a sum of positive squares in 4 ways, for example, as 83685904 + 30162064 = 9148^2 + 5492^2 .

It is a super-2 number, since 2×113847968² = 25922719635458048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7346 + ... + 16782.

Almost surely, 2^113847968 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 113847968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124864740).

113847968 is an abundant number, since it is smaller than the sum of its proper divisors (135881512).

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

113847968 is a wasteful number, since it uses less digits than its factorization.

113847968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9489 (or 9481 counting only the distinct ones).

The product of its digits is 290304, while the sum is 47.

The square root of 113847968 is about 10669.9563260587. The cubic root of 113847968 is about 484.6651147654.

The spelling of 113847968 in words is "one hundred thirteen million, eight hundred forty-seven thousand, nine hundred sixty-eight".