218004864 has 256 divisors, whose sum is σ = 739100160. Its totient is φ = 55296000.

The previous prime is 218004859. The next prime is 218004893. The reversal of 218004864 is 468400812.

It is a super-2 number, since 2×218004864² = 95052241455316992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2158414 + ... + 2158514.

It is an arithmetic number, because the mean of its divisors is an integer number (2887110).

Almost surely, 2^218004864 is an apocalyptic number.

218004864 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 218004864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369550080).

218004864 is an abundant number, since it is smaller than the sum of its proper divisors (521095296).

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

218004864 is a wasteful number, since it uses less digits than its factorization.

218004864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 218004864 is about 14764.9877751389. The cubic root of 218004864 is about 601.8506415632.

The spelling of 218004864 in words is "two hundred eighteen million, four thousand, eight hundred sixty-four".