12686084433009 has 81 divisors (see below), whose sum is σ = 19975099097889. Its totient is φ = 7754933571840.

The previous prime is 12686084432963. The next prime is 12686084433013. The reversal of 12686084433009 is 90033448068621.

The square root of 12686084433009 is 3561753.

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

12686084433009 is a `hidden beast` number, since 1 + 26 + 8 + 608 + 4 + 4 + 3 + 3 + 0 + 0 + 9 = 666.

12686084433009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4403085312609 + 8282999120400 = 2098353^2 + 2878020^2 .

It is not a de Polignac number, because 12686084433009 - 2⁷ = 12686084432881 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12686084433019) 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, 37644167289 + ... + 37644167625.

Almost surely, 2^{12686084433009} is an apocalyptic number.

12686084433009 is the 3561753-rd square number.

12686084433009 is the 1780877-th centered octagonal number.

It is an amenable number.

12686084433009 is a deficient number, since it is larger than the sum of its proper divisors (7289014664880).

12686084433009 is an frugal number, since it uses more digits than its factorization.

12686084433009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 12686084433009 in words is "twelve trillion, six hundred eighty-six billion, eighty-four million, four hundred thirty-three thousand, nine".