17775714118817 has 2 divisors, whose sum is σ = 17775714118818. Its totient is φ = 17775714118816.

The previous prime is 17775714118787. The next prime is 17775714118819. The reversal of 17775714118817 is 71881141757771.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14558314967296 + 3217399151521 = 3815536^2 + 1793711^2 .

It is an emirp because it is prime and its reverse (71881141757771) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 17775714118817 - 2¹² = 17775714114721 is a prime.

It is a super-3 number, since 3×17775714118817³ (a number of 41 digits) contains 333 as substring.

Together with 17775714118819, 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 (17775714118819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8887857059408 + 8887857059409.

It is an arithmetic number, because the mean of its divisors is an integer number (8887857059409).

Almost surely, 2^{17775714118817} is an apocalyptic number.

It is an amenable number.

17775714118817 is a deficient number, since it is larger than the sum of its proper divisors (1).

17775714118817 is an equidigital number, since it uses as much as digits as its factorization.

17775714118817 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 21512960, while the sum is 65.

The spelling of 17775714118817 in words is "seventeen trillion, seven hundred seventy-five billion, seven hundred fourteen million, one hundred eighteen thousand, eight hundred seventeen".