12844208017 has 2 divisors, whose sum is σ = 12844208018. Its totient is φ = 12844208016.

The previous prime is 12844207997. The next prime is 12844208023. The reversal of 12844208017 is 71080244821.

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., 7360953616 + 5483254401 = 85796^2 + 74049^2 .

It is a cyclic number.

It is not a de Polignac number, because 12844208017 - 2³¹ = 10696724369 is a prime.

It is not a weakly prime, because it can be changed into another prime (12844203017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6422104008 + 6422104009.

It is an arithmetic number, because the mean of its divisors is an integer number (6422104009).

Almost surely, 2^12844208017 is an apocalyptic number.

It is an amenable number.

12844208017 is a deficient number, since it is larger than the sum of its proper divisors (1).

12844208017 is an equidigital number, since it uses as much as digits as its factorization.

12844208017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28672, while the sum is 37.

The spelling of 12844208017 in words is "twelve billion, eight hundred forty-four million, two hundred eight thousand, seventeen".