198559344017 has 2 divisors, whose sum is σ = 198559344018. Its totient is φ = 198559344016.

The previous prime is 198559344007. The next prime is 198559344019. The reversal of 198559344017 is 710443955891.

It is a happy number.

198559344017 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., 158639703616 + 39919640401 = 398296^2 + 199799^2 .

It is a cyclic number.

It is not a de Polignac number, because 198559344017 - 2¹² = 198559339921 is a prime.

It is a super-2 number, since 2×198559344017² (a number of 23 digits) contains 22 as substring.

Together with 198559344019, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (198559344019) 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, 99279672008 + 99279672009.

It is an arithmetic number, because the mean of its divisors is an integer number (99279672009).

Almost surely, 2^198559344017 is an apocalyptic number.

It is an amenable number.

198559344017 is a deficient number, since it is larger than the sum of its proper divisors (1).

198559344017 is an equidigital number, since it uses as much as digits as its factorization.

198559344017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5443200, while the sum is 56.

The spelling of 198559344017 in words is "one hundred ninety-eight billion, five hundred fifty-nine million, three hundred forty-four thousand, seventeen".