218004912 has 80 divisors (see below), whose sum is σ = 629587680. Its totient is φ = 72223488.

The previous prime is 218004893. The next prime is 218004931. The reversal of 218004912 is 219400812.

It is an interprime number because it is at equal distance from previous prime (218004893) and next prime (218004931).

It is a super-2 number, since 2×218004912² = 95052283312255488, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73278 + ... + 76194.

It is an arithmetic number, because the mean of its divisors is an integer number (7869846).

Almost surely, 2^218004912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218004912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314793840).

218004912 is an abundant number, since it is smaller than the sum of its proper divisors (411582768).

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

218004912 is a wasteful number, since it uses less digits than its factorization.

218004912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3107 (or 3095 counting only the distinct ones).

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

The square root of 218004912 is about 14764.9894006057. The cubic root of 218004912 is about 601.8506857347.

The spelling of 218004912 in words is "two hundred eighteen million, four thousand, nine hundred twelve".