9917038671689 has 2 divisors, whose sum is σ = 9917038671690. Its totient is φ = 9917038671688.

The previous prime is 9917038671679. The next prime is 9917038671697. The reversal of 9917038671689 is 9861768307199.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9879027320464 + 38011351225 = 3143092^2 + 194965^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-9917038671689 is a prime.

It is a super-2 number, since 2×9917038671689² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (9917038671679) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4958519335844 + 4958519335845.

It is an arithmetic number, because the mean of its divisors is an integer number (4958519335845).

Almost surely, 2^{9917038671689} is an apocalyptic number.

It is an amenable number.

9917038671689 is a deficient number, since it is larger than the sum of its proper divisors (1).

9917038671689 is an equidigital number, since it uses as much as digits as its factorization.

9917038671689 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 246903552, while the sum is 74.

The spelling of 9917038671689 in words is "nine trillion, nine hundred seventeen billion, thirty-eight million, six hundred seventy-one thousand, six hundred eighty-nine".