113682188974225 has 81 divisors (see below), whose sum is σ = 146702318686257. Its totient is φ = 87388291829760.

The previous prime is 113682188974219. The next prime is 113682188974247. The reversal of 113682188974225 is 522479881286311.

The square root of 113682188974225 is 10662185.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7042447445121 + 106639741529104 = 2653761^2 + 10326652^2 .

It is not a de Polignac number, because 113682188974225 - 2³ = 113682188974217 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 147831194641 + ... + 147831195409.

Almost surely, 2^{113682188974225} is an apocalyptic number.

113682188974225 is the 10662185-th square number.

113682188974225 is the 5331093-rd centered octagonal number.

It is an amenable number.

113682188974225 is a deficient number, since it is larger than the sum of its proper divisors (33020129712032).

113682188974225 is an frugal number, since it uses more digits than its factorization.

113682188974225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 880 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 67.

The spelling of 113682188974225 in words is "one hundred thirteen trillion, six hundred eighty-two billion, one hundred eighty-eight million, nine hundred seventy-four thousand, two hundred twenty-five".