9917804342689 has 2 divisors, whose sum is σ = 9917804342690. Its totient is φ = 9917804342688.

The previous prime is 9917804342687. The next prime is 9917804342729. The reversal of 9917804342689 is 9862434087199.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9407961217600 + 509843125089 = 3067240^2 + 714033^2 .

It is a cyclic number.

It is not a de Polignac number, because 9917804342689 - 2¹ = 9917804342687 is a prime.

Together with 9917804342687, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (9917804342687) 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, 4958902171344 + 4958902171345.

It is an arithmetic number, because the mean of its divisors is an integer number (4958902171345).

Almost surely, 2^{9917804342689} is an apocalyptic number.

It is an amenable number.

9917804342689 is a deficient number, since it is larger than the sum of its proper divisors (1).

9917804342689 is an equidigital number, since it uses as much as digits as its factorization.

9917804342689 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 188116992, while the sum is 70.

The spelling of 9917804342689 in words is "nine trillion, nine hundred seventeen billion, eight hundred four million, three hundred forty-two thousand, six hundred eighty-nine".