113646288 has 120 divisors (see below), whose sum is σ = 344635680. Its totient is φ = 32175360.

The previous prime is 113646283. The next prime is 113646347. The reversal of 113646288 is 882646311.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113646283) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 496158 + ... + 496386.

It is an arithmetic number, because the mean of its divisors is an integer number (2871964).

Almost surely, 2^113646288 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 113646288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172317840).

113646288 is an abundant number, since it is smaller than the sum of its proper divisors (230989392).

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

113646288 is a wasteful number, since it uses less digits than its factorization.

113646288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 452 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 113646288 is about 10660.5013015336. The cubic root of 113646288 is about 484.3787532307.

The spelling of 113646288 in words is "one hundred thirteen million, six hundred forty-six thousand, two hundred eighty-eight".