6618731616017 has 2 divisors, whose sum is σ = 6618731616018. Its totient is φ = 6618731616016.

The previous prime is 6618731615989. The next prime is 6618731616037. The reversal of 6618731616017 is 7106161378166.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3869250295681 + 2749481320336 = 1967041^2 + 1658156^2 .

It is a cyclic number.

It is not a de Polignac number, because 6618731616017 - 2²⁸ = 6618463180561 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 6618731616017.

It is not a weakly prime, because it can be changed into another prime (6618731616037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3309365808008 + 3309365808009.

It is an arithmetic number, because the mean of its divisors is an integer number (3309365808009).

Almost surely, 2^{6618731616017} is an apocalyptic number.

It is an amenable number.

6618731616017 is a deficient number, since it is larger than the sum of its proper divisors (1).

6618731616017 is an equidigital number, since it uses as much as digits as its factorization.

6618731616017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1524096, while the sum is 53.

The spelling of 6618731616017 in words is "six trillion, six hundred eighteen billion, seven hundred thirty-one million, six hundred sixteen thousand, seventeen".