12305686761 has 27 divisors (see below), whose sum is σ = 17999264829. Its totient is φ = 8101512792.

The previous prime is 12305686739. The next prime is 12305686859. The reversal of 12305686761 is 16768650321.

The square root of 12305686761 is 110931.

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

12305686761 is a `hidden beast` number, since 1 + 23 + 0 + 568 + 6 + 7 + 61 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-12305686761 is a prime.

It is a super-2 number, since 2×12305686761² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12305686721) 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, 34277500 + ... + 34277858.

Almost surely, 2^12305686761 is an apocalyptic number.

12305686761 is the 110931-st square number.

12305686761 is the 55466-th centered octagonal number.

It is an amenable number.

12305686761 is a deficient number, since it is larger than the sum of its proper divisors (5693578068).

12305686761 is an frugal number, since it uses more digits than its factorization.

12305686761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 12305686761 in words is "twelve billion, three hundred five million, six hundred eighty-six thousand, seven hundred sixty-one".