12724637766329 has 2 divisors, whose sum is σ = 12724637766330. Its totient is φ = 12724637766328.

The previous prime is 12724637766257. The next prime is 12724637766343. The reversal of 12724637766329 is 92366773642721.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12179764962304 + 544872804025 = 3489952^2 + 738155^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12724637766329 is a prime.

It is a super-2 number, since 2×12724637766329² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12724637766389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6362318883164 + 6362318883165.

It is an arithmetic number, because the mean of its divisors is an integer number (6362318883165).

Almost surely, 2^{12724637766329} is an apocalyptic number.

It is an amenable number.

12724637766329 is a deficient number, since it is larger than the sum of its proper divisors (1).

12724637766329 is an equidigital number, since it uses as much as digits as its factorization.

12724637766329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 192036096, while the sum is 65.

The spelling of 12724637766329 in words is "twelve trillion, seven hundred twenty-four billion, six hundred thirty-seven million, seven hundred sixty-six thousand, three hundred twenty-nine".