17616464890657 has 2 divisors, whose sum is σ = 17616464890658. Its totient is φ = 17616464890656.

The previous prime is 17616464890511. The next prime is 17616464890681. The reversal of 17616464890657 is 75609846461671.

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., 17025889547536 + 590575343121 = 4126244^2 + 768489^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-17616464890657 is a prime.

It is not a weakly prime, because it can be changed into another prime (17616464890697) 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, 8808232445328 + 8808232445329.

It is an arithmetic number, because the mean of its divisors is an integer number (8808232445329).

Almost surely, 2^{17616464890657} is an apocalyptic number.

It is an amenable number.

17616464890657 is a deficient number, since it is larger than the sum of its proper divisors (1).

17616464890657 is an equidigital number, since it uses as much as digits as its factorization.

17616464890657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 365783040, while the sum is 70.

The spelling of 17616464890657 in words is "seventeen trillion, six hundred sixteen billion, four hundred sixty-four million, eight hundred ninety thousand, six hundred fifty-seven".