13681607091617 has 2 divisors, whose sum is σ = 13681607091618. Its totient is φ = 13681607091616.

The previous prime is 13681607091541. The next prime is 13681607091623. The reversal of 13681607091617 is 71619070618631.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8152943672896 + 5528663418721 = 2855336^2 + 2351311^2 .

It is a cyclic number.

It is not a de Polignac number, because 13681607091617 - 2²⁶ = 13681539982753 is a prime.

It is not a weakly prime, because it can be changed into another prime (13681607091637) 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, 6840803545808 + 6840803545809.

It is an arithmetic number, because the mean of its divisors is an integer number (6840803545809).

Almost surely, 2^{13681607091617} is an apocalyptic number.

It is an amenable number.

13681607091617 is a deficient number, since it is larger than the sum of its proper divisors (1).

13681607091617 is an equidigital number, since it uses as much as digits as its factorization.

13681607091617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2286144, while the sum is 56.

The spelling of 13681607091617 in words is "thirteen trillion, six hundred eighty-one billion, six hundred seven million, ninety-one thousand, six hundred seventeen".