12667468557817 has 2 divisors, whose sum is σ = 12667468557818. Its totient is φ = 12667468557816.

The previous prime is 12667468557761. The next prime is 12667468557847. The reversal of 12667468557817 is 71875586476621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7971497211456 + 4695971346361 = 2823384^2 + 2167019^2 .

It is a cyclic number.

It is not a de Polignac number, because 12667468557817 - 2¹⁹ = 12667468033529 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12667468557817.

It is not a weakly prime, because it can be changed into another prime (12667468557847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6333734278908 + 6333734278909.

It is an arithmetic number, because the mean of its divisors is an integer number (6333734278909).

Almost surely, 2^{12667468557817} is an apocalyptic number.

It is an amenable number.

12667468557817 is a deficient number, since it is larger than the sum of its proper divisors (1).

12667468557817 is an equidigital number, since it uses as much as digits as its factorization.

12667468557817 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 948326400, while the sum is 73.

The spelling of 12667468557817 in words is "twelve trillion, six hundred sixty-seven billion, four hundred sixty-eight million, five hundred fifty-seven thousand, eight hundred seventeen".