218817216 has 168 divisors, whose sum is σ = 665683200. Its totient is φ = 68580864.

The previous prime is 218817163. The next prime is 218817227. The reversal of 218817216 is 612718812.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1099485 + ... + 1099683.

It is an arithmetic number, because the mean of its divisors is an integer number (3962400).

Almost surely, 2^218817216 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 218817216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332841600).

218817216 is an abundant number, since it is smaller than the sum of its proper divisors (446865984).

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

218817216 is a wasteful number, since it uses less digits than its factorization.

218817216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 310 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The square root of 218817216 is about 14792.4715987559. The cubic root of 218817216 is about 602.5972740562.

The spelling of 218817216 in words is "two hundred eighteen million, eight hundred seventeen thousand, two hundred sixteen".