12767365191667 has 2 divisors, whose sum is σ = 12767365191668. Its totient is φ = 12767365191666.

The previous prime is 12767365191649. The next prime is 12767365191677. The reversal of 12767365191667 is 76619156376721.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 12767365191667 - 2²³ = 12767356803059 is a prime.

It is a super-2 number, since 2×12767365191667² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12767365191677) 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, 6383682595833 + 6383682595834.

It is an arithmetic number, because the mean of its divisors is an integer number (6383682595834).

Almost surely, 2^{12767365191667} is an apocalyptic number.

12767365191667 is a deficient number, since it is larger than the sum of its proper divisors (1).

12767365191667 is an equidigital number, since it uses as much as digits as its factorization.

12767365191667 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 120022560, while the sum is 67.

The spelling of 12767365191667 in words is "twelve trillion, seven hundred sixty-seven billion, three hundred sixty-five million, one hundred ninety-one thousand, six hundred sixty-seven".