17958867493817 has 2 divisors, whose sum is σ = 17958867493818. Its totient is φ = 17958867493816.

The previous prime is 17958867493783. The next prime is 17958867493841. The reversal of 17958867493817 is 71839476885971.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11153322236281 + 6805545257536 = 3339659^2 + 2608744^2 .

It is a cyclic number.

It is not a de Polignac number, because 17958867493817 - 2⁶ = 17958867493753 is a prime.

It is not a weakly prime, because it can be changed into another prime (17958867493877) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8979433746908 + 8979433746909.

It is an arithmetic number, because the mean of its divisors is an integer number (8979433746909).

Almost surely, 2^{17958867493817} is an apocalyptic number.

It is an amenable number.

17958867493817 is a deficient number, since it is larger than the sum of its proper divisors (1).

17958867493817 is an equidigital number, since it uses as much as digits as its factorization.

17958867493817 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5120962560, while the sum is 83.

The spelling of 17958867493817 in words is "seventeen trillion, nine hundred fifty-eight billion, eight hundred sixty-seven million, four hundred ninety-three thousand, eight hundred seventeen".