814417235311717 has 2 divisors, whose sum is σ = 814417235311718. Its totient is φ = 814417235311716.

The previous prime is 814417235311621. The next prime is 814417235311721. The reversal of 814417235311717 is 717113532714418.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 669371198539681 + 145046036772036 = 25872209^2 + 12043506^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-814417235311717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (814417235311727) 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, 407208617655858 + 407208617655859.

It is an arithmetic number, because the mean of its divisors is an integer number (407208617655859).

Almost surely, 2^{814417235311717} is an apocalyptic number.

It is an amenable number.

814417235311717 is a deficient number, since it is larger than the sum of its proper divisors (1).

814417235311717 is an equidigital number, since it uses as much as digits as its factorization.

814417235311717 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3951360, while the sum is 55.

The spelling of 814417235311717 in words is "eight hundred fourteen trillion, four hundred seventeen billion, two hundred thirty-five million, three hundred eleven thousand, seven hundred seventeen".