12992513967169 has 27 divisors (see below), whose sum is σ = 14358276621507. Its totient is φ = 11747828769600.

The previous prime is 12992513967163. The next prime is 12992513967193. The reversal of 12992513967169 is 96176931529921.

It is a happy number.

The square root of 12992513967169 is 3604513.

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

It can be written as a sum of positive squares in only one way, i.e., 1319959721025 + 11672554246144 = 1148895^2 + 3416512^2 .

It is not a de Polignac number, because 12992513967169 - 2³ = 12992513967161 is a prime.

It is a super-2 number, since 2×12992513967169² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12992513967098 and 12992513967107.

It is not an unprimeable number, because it can be changed into a prime (12992513967161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8366073897 + ... + 8366075449.

Almost surely, 2^{12992513967169} is an apocalyptic number.

12992513967169 is the 3604513-rd square number.

12992513967169 is the 1802257-th centered octagonal number.

It is an amenable number.

12992513967169 is a deficient number, since it is larger than the sum of its proper divisors (1365762654338).

12992513967169 is an frugal number, since it uses more digits than its factorization.

12992513967169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3550 (or 1775 counting only the distinct ones).

The product of its digits is 99202320, while the sum is 70.

The spelling of 12992513967169 in words is "twelve trillion, nine hundred ninety-two billion, five hundred thirteen million, nine hundred sixty-seven thousand, one hundred sixty-nine".