113485216 has 96 divisors (see below), whose sum is σ = 252978768. Its totient is φ = 49766400.

The previous prime is 113485201. The next prime is 113485219. The reversal of 113485216 is 612584311.

It can be written as a sum of positive squares in 8 ways, for example, as 94090000 + 19395216 = 9700^2 + 4404^2 .

It is not an unprimeable number, because it can be changed into a prime (113485219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1123566 + ... + 1123666.

Almost surely, 2^113485216 is an apocalyptic number.

113485216 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 113485216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126489384).

113485216 is an abundant number, since it is smaller than the sum of its proper divisors (139493552).

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

113485216 is a wasteful number, since it uses less digits than its factorization.

113485216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 226 counting only the distinct ones).

The product of its digits is 5760, while the sum is 31.

The square root of 113485216 is about 10652.9440062360. The cubic root of 113485216 is about 484.1498067794.

The spelling of 113485216 in words is "one hundred thirteen million, four hundred eighty-five thousand, two hundred sixteen".