218313819 has 16 divisors (see below), whose sum is σ = 340451200. Its totient is φ = 137882088.

The previous prime is 218313793. The next prime is 218313829. The reversal of 218313819 is 918313812.

It is not a de Polignac number, because 218313819 - 2⁵ = 218313787 is a prime.

It is a super-2 number, since 2×218313819² = 95321847132729522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (218313829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212269 + ... + 213294.

It is an arithmetic number, because the mean of its divisors is an integer number (21278200).

Almost surely, 2^218313819 is an apocalyptic number.

218313819 is a deficient number, since it is larger than the sum of its proper divisors (122137381).

218313819 is a wasteful number, since it uses less digits than its factorization.

218313819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425591 (or 425585 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 218313819 is about 14775.4464907156. The cubic root of 218313819 is about 602.1348202290.

The spelling of 218313819 in words is "two hundred eighteen million, three hundred thirteen thousand, eight hundred nineteen".