12979361329 has 9 divisors (see below), whose sum is σ = 14267948331. Its totient is φ = 11798280120.

The previous prime is 12979361323. The next prime is 12979361333. The reversal of 12979361329 is 92316397921.

It is a happy number.

The square root of 12979361329 is 113927.

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., 6474616225 + 6504745104 = 80465^2 + 80652^2 .

It is not a de Polignac number, because 12979361329 - 2¹⁵ = 12979328561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12979361323) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1248019 + ... + 1258375.

Almost surely, 2^12979361329 is an apocalyptic number.

12979361329 is the 113927-th square number.

12979361329 is the 56964-th centered octagonal number.

It is an amenable number.

12979361329 is a deficient number, since it is larger than the sum of its proper divisors (1288587002).

12979361329 is an frugal number, since it uses more digits than its factorization.

12979361329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20736 (or 10368 counting only the distinct ones).

The product of its digits is 1102248, while the sum is 52.

The spelling of 12979361329 in words is "twelve billion, nine hundred seventy-nine million, three hundred sixty-one thousand, three hundred twenty-nine".