12052235686689 has 63 divisors (see below), whose sum is σ = 19863861382659. Its totient is φ = 7303760370720.

The previous prime is 12052235686669. The next prime is 12052235686747. The reversal of 12052235686689 is 98668653225021.

The square root of 12052235686689 is 3471633.

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

12052235686689 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 2 + 2 + 3 + 568 + 6 + 68 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11949348709089 + 102886977600 = 3456783^2 + 320760^2 .

It is not a de Polignac number, because 12052235686689 - 2⁵ = 12052235686657 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12052235686669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1031069157 + ... + 1031080845.

Almost surely, 2^{12052235686689} is an apocalyptic number.

12052235686689 is the 3471633-rd square number.

12052235686689 is the 1735817-th centered octagonal number.

It is an amenable number.

12052235686689 is a deficient number, since it is larger than the sum of its proper divisors (7811625695970).

12052235686689 is an frugal number, since it uses more digits than its factorization.

12052235686689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23418 (or 11703 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 12052235686689 in words is "twelve trillion, fifty-two billion, two hundred thirty-five million, six hundred eighty-six thousand, six hundred eighty-nine".