18681674160577 has 2 divisors, whose sum is σ = 18681674160578. Its totient is φ = 18681674160576.

The previous prime is 18681674160551. The next prime is 18681674160637. The reversal of 18681674160577 is 77506147618681.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14907043009296 + 3774631151281 = 3860964^2 + 1942841^2 .

It is a cyclic number.

It is not a de Polignac number, because 18681674160577 - 2¹⁹ = 18681673636289 is a prime.

It is not a weakly prime, because it can be changed into another prime (18681674160977) 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, 9340837080288 + 9340837080289.

It is an arithmetic number, because the mean of its divisors is an integer number (9340837080289).

Almost surely, 2^{18681674160577} is an apocalyptic number.

It is an amenable number.

18681674160577 is a deficient number, since it is larger than the sum of its proper divisors (1).

18681674160577 is an equidigital number, since it uses as much as digits as its factorization.

18681674160577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 94832640, while the sum is 67.

The spelling of 18681674160577 in words is "eighteen trillion, six hundred eighty-one billion, six hundred seventy-four million, one hundred sixty thousand, five hundred seventy-seven".