218301318 has 80 divisors (see below), whose sum is σ = 534847104. Its totient is φ = 66251520.

The previous prime is 218301311. The next prime is 218301353. The reversal of 218301318 is 813103812.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 218301291 and 218301300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218301311) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 84096 + ... + 86652.

Almost surely, 2^218301318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218301318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267423552).

218301318 is an abundant number, since it is smaller than the sum of its proper divisors (316545786).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

218301318 is a wasteful number, since it uses less digits than its factorization.

218301318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2619 (or 2610 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 218301318 is about 14775.0234517580. The cubic root of 218301318 is about 602.1233269406.

The spelling of 218301318 in words is "two hundred eighteen million, three hundred one thousand, three hundred eighteen".