218852016 has 80 divisors (see below), whose sum is σ = 607711104. Its totient is φ = 67617792.

The previous prime is 218851981. The next prime is 218852021. The reversal of 218852016 is 610258812.

218852016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52671 + ... + 56673.

Almost surely, 2^218852016 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 218852016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303855552).

218852016 is an abundant number, since it is smaller than the sum of its proper divisors (388859088).

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

218852016 is a wasteful number, since it uses less digits than its factorization.

218852016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4098 (or 4092 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 218852016 is about 14793.6478260096. The cubic root of 218852016 is about 602.6292174196.

The spelling of 218852016 in words is "two hundred eighteen million, eight hundred fifty-two thousand, sixteen".