12768238968361 has 2 divisors, whose sum is σ = 12768238968362. Its totient is φ = 12768238968360.

The previous prime is 12768238968343. The next prime is 12768238968367. The reversal of 12768238968361 is 16386983286721.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12564437283225 + 203801685136 = 3544635^2 + 451444^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12768238968361 is a prime.

It is not a weakly prime, because it can be changed into another prime (12768238968367) 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, 6384119484180 + 6384119484181.

It is an arithmetic number, because the mean of its divisors is an integer number (6384119484181).

Almost surely, 2^{12768238968361} is an apocalyptic number.

It is an amenable number.

12768238968361 is a deficient number, since it is larger than the sum of its proper divisors (1).

12768238968361 is an equidigital number, since it uses as much as digits as its factorization.

12768238968361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 250822656, while the sum is 70.

The spelling of 12768238968361 in words is "twelve trillion, seven hundred sixty-eight billion, two hundred thirty-eight million, nine hundred sixty-eight thousand, three hundred sixty-one".