218524085387849 has 2 divisors, whose sum is σ = 218524085387850. Its totient is φ = 218524085387848.

The previous prime is 218524085387833. The next prime is 218524085387863. The reversal of 218524085387849 is 948783580425812.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 112439132327824 + 106084953060025 = 10603732^2 + 10299755^2 .

It is a cyclic number.

It is not a de Polignac number, because 218524085387849 - 2⁴ = 218524085387833 is a prime.

It is not a weakly prime, because it can be changed into another prime (218524085317849) 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, 109262042693924 + 109262042693925.

It is an arithmetic number, because the mean of its divisors is an integer number (109262042693925).

Almost surely, 2^{218524085387849} is an apocalyptic number.

It is an amenable number.

218524085387849 is a deficient number, since it is larger than the sum of its proper divisors (1).

218524085387849 is an equidigital number, since it uses as much as digits as its factorization.

218524085387849 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1238630400, while the sum is 74.

The spelling of 218524085387849 in words is "two hundred eighteen trillion, five hundred twenty-four billion, eighty-five million, three hundred eighty-seven thousand, eight hundred forty-nine".