2161968416617 has 2 divisors, whose sum is σ = 2161968416618. Its totient is φ = 2161968416616.

The previous prime is 2161968416579. The next prime is 2161968416623. The reversal of 2161968416617 is 7166148691612.

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., 1782929949696 + 379038466921 = 1335264^2 + 615661^2 .

It is a cyclic number.

It is not a de Polignac number, because 2161968416617 - 2³⁵ = 2127608678249 is a prime.

It is not a weakly prime, because it can be changed into another prime (2161968416117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1080984208308 + 1080984208309.

It is an arithmetic number, because the mean of its divisors is an integer number (1080984208309).

Almost surely, 2^{2161968416617} is an apocalyptic number.

It is an amenable number.

2161968416617 is a deficient number, since it is larger than the sum of its proper divisors (1).

2161968416617 is an equidigital number, since it uses as much as digits as its factorization.

2161968416617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5225472, while the sum is 58.

The spelling of 2161968416617 in words is "two trillion, one hundred sixty-one billion, nine hundred sixty-eight million, four hundred sixteen thousand, six hundred seventeen".