12649325314921 has 15 divisors (see below), whose sum is σ = 13104184943011. Its totient is φ = 12210253733104.

The previous prime is 12649325314877. The next prime is 12649325314937. The reversal of 12649325314921 is 12941352394621.

The square root of 12649325314921 is 3556589.

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

It can be written as a sum of positive squares in 7 ways, for example, as 2055624921 + 12647269690000 = 45339^2 + 3556300^2 .

It is not a de Polignac number, because 12649325314921 - 2²⁹ = 12648788444009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12649325314121) 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 14 ways as a sum of consecutive naturals, for example, 2991089235 + ... + 2991093463.

Almost surely, 2^{12649325314921} is an apocalyptic number.

12649325314921 is the 3556589-th square number.

12649325314921 is the 1778295-th centered octagonal number.

It is an amenable number.

12649325314921 is a deficient number, since it is larger than the sum of its proper divisors (454859628090).

12649325314921 is an frugal number, since it uses more digits than its factorization.

12649325314921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8574 (or 4258 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 52.

The spelling of 12649325314921 in words is "twelve trillion, six hundred forty-nine billion, three hundred twenty-five million, three hundred fourteen thousand, nine hundred twenty-one".