113705863209 has 81 divisors (see below), whose sum is σ = 179278210839. Its totient is φ = 72107489520.

The previous prime is 113705863189. The next prime is 113705863253. The reversal of 113705863209 is 902368507311.

The square root of 113705863209 is 337203.

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

113705863209 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 0 + 5 + 8 + 632 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1252947609 + 112452915600 = 35397^2 + 335340^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 113705863209 - 2⁵ = 113705863177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (113705863309) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 628209099 + ... + 628209279.

Almost surely, 2^113705863209 is an apocalyptic number.

113705863209 is the 337203-rd square number.

113705863209 is the 168602-nd centered octagonal number.

It is an amenable number.

113705863209 is a deficient number, since it is larger than the sum of its proper divisors (65572347630).

113705863209 is an frugal number, since it uses more digits than its factorization.

113705863209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 113705863209 in words is "one hundred thirteen billion, seven hundred five million, eight hundred sixty-three thousand, two hundred nine".