18585335001817 has 2 divisors, whose sum is σ = 18585335001818. Its totient is φ = 18585335001816.

The previous prime is 18585335001773. The next prime is 18585335001931. The reversal of 18585335001817 is 71810053358581.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14495350540176 + 4089984461641 = 3807276^2 + 2022371^2 .

It is an emirp because it is prime and its reverse (71810053358581) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 18585335001817 - 2¹⁹ = 18585334477529 is a prime.

It is not a weakly prime, because it can be changed into another prime (18585335001217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9292667500908 + 9292667500909.

It is an arithmetic number, because the mean of its divisors is an integer number (9292667500909).

Almost surely, 2^{18585335001817} is an apocalyptic number.

It is an amenable number.

18585335001817 is a deficient number, since it is larger than the sum of its proper divisors (1).

18585335001817 is an equidigital number, since it uses as much as digits as its factorization.

18585335001817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032000, while the sum is 55.

The spelling of 18585335001817 in words is "eighteen trillion, five hundred eighty-five billion, three hundred thirty-five million, one thousand, eight hundred seventeen".