12771846685361 has 2 divisors, whose sum is σ = 12771846685362. Its totient is φ = 12771846685360.

The previous prime is 12771846685309. The next prime is 12771846685441. The reversal of 12771846685361 is 16358664817721.

It is a happy number.

12771846685361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10976664741025 + 1795181944336 = 3313105^2 + 1339844^2 .

It is an emirp because it is prime and its reverse (16358664817721) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12771846685361 is a prime.

It is not a weakly prime, because it can be changed into another prime (12771846685561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6385923342680 + 6385923342681.

It is an arithmetic number, because the mean of its divisors is an integer number (6385923342681).

Almost surely, 2^{12771846685361} is an apocalyptic number.

It is an amenable number.

12771846685361 is a deficient number, since it is larger than the sum of its proper divisors (1).

12771846685361 is an equidigital number, since it uses as much as digits as its factorization.

12771846685361 is an evil number, because the sum of its binary digits is even.

The product of its digits is 81285120, while the sum is 65.

The spelling of 12771846685361 in words is "twelve trillion, seven hundred seventy-one billion, eight hundred forty-six million, six hundred eighty-five thousand, three hundred sixty-one".