218862864 has 240 divisors, whose sum is σ = 712454400. Its totient is φ = 64247040.

The previous prime is 218862817. The next prime is 218862869. The reversal of 218862864 is 468268812.

218862864 is a `hidden beast` number, since 2 + 18 + 8 + 628 + 6 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (218862869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2770377 + ... + 2770455.

It is an arithmetic number, because the mean of its divisors is an integer number (2968560).

Almost surely, 2^218862864 is an apocalyptic number.

218862864 is a gapful number since it is divisible by the number (24) 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 218862864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356227200).

218862864 is an abundant number, since it is smaller than the sum of its proper divisors (493591536).

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

218862864 is a wasteful number, since it uses less digits than its factorization.

218862864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 148 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 218862864 is about 14794.0144653167. The cubic root of 218862864 is about 602.6391742447.

The spelling of 218862864 in words is "two hundred eighteen million, eight hundred sixty-two thousand, eight hundred sixty-four".