12795908161 has 27 divisors (see below), whose sum is σ = 13706332329. Its totient is φ = 11945366400.

The previous prime is 12795908129. The next prime is 12795908171. The reversal of 12795908161 is 16180959721.

The square root of 12795908161 is 113119.

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 7800245761 + 4995662400 = 88319^2 + 70680^2 .

It is not a de Polignac number, because 12795908161 - 2⁵ = 12795908129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12795908171) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 143774205 + ... + 143774293.

Almost surely, 2^12795908161 is an apocalyptic number.

12795908161 is the 113119-th square number.

12795908161 is the 56560-th centered octagonal number.

It is an amenable number.

12795908161 is a deficient number, since it is larger than the sum of its proper divisors (910424168).

12795908161 is an frugal number, since it uses more digits than its factorization.

12795908161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 49.

Multiplying 12795908161 by its sum of digits (49), we get a square (626999499889 = 791833²).

The spelling of 12795908161 in words is "twelve billion, seven hundred ninety-five million, nine hundred eight thousand, one hundred sixty-one".