218701868 has 96 divisors (see below), whose sum is σ = 494097408. Its totient is φ = 82252800.

The previous prime is 218701867. The next prime is 218701883. The reversal of 218701868 is 868107812.

218701868 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (218701867) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1596296 + ... + 1596432.

It is an arithmetic number, because the mean of its divisors is an integer number (5146848).

Almost surely, 2^218701868 is an apocalyptic number.

218701868 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218701868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247048704).

218701868 is an abundant number, since it is smaller than the sum of its proper divisors (275395540).

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

218701868 is a wasteful number, since it uses less digits than its factorization.

218701868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 41.

The square root of 218701868 is about 14788.5722096489. The cubic root of 218701868 is about 602.4913704336.

The spelling of 218701868 in words is "two hundred eighteen million, seven hundred one thousand, eight hundred sixty-eight".