113524315538841 has 27 divisors (see below), whose sum is σ = 168532983374301. Its totient is φ = 73636626718944.

The previous prime is 113524315538819. The next prime is 113524315538857. The reversal of 113524315538841 is 148835513425311.

The square root of 113524315538841 is 10654779.

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

113524315538841 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 2 + 4 + 3 + 1 + 553 + 8 + 84 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 61427144025 + 113462888394816 = 247845^2 + 10651896^2 .

It is not a de Polignac number, because 113524315538841 - 2⁹ = 113524315538329 is a prime.

It is a super-2 number, since 2×113524315538841² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113524315538801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1182632475 + ... + 1182728463.

Almost surely, 2^{113524315538841} is an apocalyptic number.

113524315538841 is the 10654779-th square number.

113524315538841 is the 5327390-th centered octagonal number.

It is an amenable number.

113524315538841 is a deficient number, since it is larger than the sum of its proper divisors (55008667835460).

113524315538841 is an frugal number, since it uses more digits than its factorization.

113524315538841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192058 (or 96029 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 54.

The spelling of 113524315538841 in words is "one hundred thirteen trillion, five hundred twenty-four billion, three hundred fifteen million, five hundred thirty-eight thousand, eight hundred forty-one".