113648800 has 36 divisors (see below), whose sum is σ = 277447086. Its totient is φ = 45459200.

The previous prime is 113648783. The next prime is 113648813. The reversal of 113648800 is 8846311.

It can be written as a sum of positive squares in 3 ways, for example, as 96904336 + 16744464 = 9844^2 + 4092^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70231 + ... + 71830.

Almost surely, 2^113648800 is an apocalyptic number.

113648800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113648800 is an abundant number, since it is smaller than the sum of its proper divisors (163798286).

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

113648800 is a wasteful number, since it uses less digits than its factorization.

113648800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142081 (or 142068 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 113648800 is about 10660.6191189818. The cubic root of 113648800 is about 484.3823220537.

It can be divided in two parts, 11364 and 8800, that added together give a square (20164 = 142²).

The spelling of 113648800 in words is "one hundred thirteen million, six hundred forty-eight thousand, eight hundred".