864317574017 has 2 divisors, whose sum is σ = 864317574018. Its totient is φ = 864317574016.

The previous prime is 864317573929. The next prime is 864317574019. The reversal of 864317574017 is 710475713468.

864317574017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 807726397696 + 56591176321 = 898736^2 + 237889^2 .

It is a cyclic number.

It is not a de Polignac number, because 864317574017 - 2¹⁴ = 864317557633 is a prime.

Together with 864317574019, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 864317574017.

It is not a weakly prime, because it can be changed into another prime (864317574019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 432158787008 + 432158787009.

It is an arithmetic number, because the mean of its divisors is an integer number (432158787009).

Almost surely, 2^864317574017 is an apocalyptic number.

It is an amenable number.

864317574017 is a deficient number, since it is larger than the sum of its proper divisors (1).

864317574017 is an equidigital number, since it uses as much as digits as its factorization.

864317574017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3951360, while the sum is 53.

The spelling of 864317574017 in words is "eight hundred sixty-four billion, three hundred seventeen million, five hundred seventy-four thousand, seventeen".