12638868407677 has 2 divisors, whose sum is σ = 12638868407678. Its totient is φ = 12638868407676.

The previous prime is 12638868407611. The next prime is 12638868407699. The reversal of 12638868407677 is 77670486883621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10328632564761 + 2310235842916 = 3213819^2 + 1519946^2 .

It is a cyclic number.

It is not a de Polignac number, because 12638868407677 - 2¹¹ = 12638868405629 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12638868407777) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6319434203838 + 6319434203839.

It is an arithmetic number, because the mean of its divisors is an integer number (6319434203839).

Almost surely, 2^{12638868407677} is an apocalyptic number.

It is an amenable number.

12638868407677 is a deficient number, since it is larger than the sum of its proper divisors (1).

12638868407677 is an equidigital number, since it uses as much as digits as its factorization.

12638868407677 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 910393344, while the sum is 73.

The spelling of 12638868407677 in words is "twelve trillion, six hundred thirty-eight billion, eight hundred sixty-eight million, four hundred seven thousand, six hundred seventy-seven".