12497165327689 has 81 divisors (see below), whose sum is σ = 15732588486069. Its totient is φ = 9896109914880.

The previous prime is 12497165327623. The next prime is 12497165327707. The reversal of 12497165327689 is 98672356179421.

The square root of 12497165327689 is 3535133.

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 1153121607225 + 11344043720464 = 1073835^2 + 3368092^2 .

It is not a de Polignac number, because 12497165327689 - 2⁷ = 12497165327561 is a prime.

It is a super-2 number, since 2×12497165327689² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12497165321689) 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, 25661530204 + ... + 25661530690.

Almost surely, 2^{12497165327689} is an apocalyptic number.

12497165327689 is the 3535133-rd square number.

12497165327689 is the 1767567-th centered octagonal number.

It is an amenable number.

12497165327689 is a deficient number, since it is larger than the sum of its proper divisors (3235423158380).

12497165327689 is an frugal number, since it uses more digits than its factorization.

12497165327689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 572 counting only the distinct ones).

The product of its digits is 274337280, while the sum is 70.

The spelling of 12497165327689 in words is "twelve trillion, four hundred ninety-seven billion, one hundred sixty-five million, three hundred twenty-seven thousand, six hundred eighty-nine".