12623306646961 has 2 divisors, whose sum is σ = 12623306646962. Its totient is φ = 12623306646960.

The previous prime is 12623306646949. The next prime is 12623306646967. The reversal of 12623306646961 is 16964660332621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12595975944561 + 27330702400 = 3549081^2 + 165320^2 .

It is a cyclic number.

It is not a de Polignac number, because 12623306646961 - 2¹¹ = 12623306644913 is a prime.

It is not a weakly prime, because it can be changed into another prime (12623306646967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6311653323480 + 6311653323481.

It is an arithmetic number, because the mean of its divisors is an integer number (6311653323481).

Almost surely, 2^{12623306646961} is an apocalyptic number.

It is an amenable number.

12623306646961 is a deficient number, since it is larger than the sum of its proper divisors (1).

12623306646961 is an equidigital number, since it uses as much as digits as its factorization.

12623306646961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10077696, while the sum is 55.

The spelling of 12623306646961 in words is "twelve trillion, six hundred twenty-three billion, three hundred six million, six hundred forty-six thousand, nine hundred sixty-one".