12855593618017 has 2 divisors, whose sum is σ = 12855593618018. Its totient is φ = 12855593618016.

The previous prime is 12855593617693. The next prime is 12855593618027. The reversal of 12855593618017 is 71081639555821.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7499442497121 + 5356151120896 = 2738511^2 + 2314336^2 .

It is an emirp because it is prime and its reverse (71081639555821) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12855593618017 - 2⁴³ = 4059500595809 is a prime.

It is not a weakly prime, because it can be changed into another prime (12855593618027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6427796809008 + 6427796809009.

It is an arithmetic number, because the mean of its divisors is an integer number (6427796809009).

Almost surely, 2^{12855593618017} is an apocalyptic number.

It is an amenable number.

12855593618017 is a deficient number, since it is larger than the sum of its proper divisors (1).

12855593618017 is an equidigital number, since it uses as much as digits as its factorization.

12855593618017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144000, while the sum is 61.

The spelling of 12855593618017 in words is "twelve trillion, eight hundred fifty-five billion, five hundred ninety-three million, six hundred eighteen thousand, seventeen".