218304016 has 60 divisors (see below), whose sum is σ = 494166288. Its totient is φ = 93151296.

The previous prime is 218304013. The next prime is 218304019. The reversal of 218304016 is 610403812.

It is an interprime number because it is at equal distance from previous prime (218304013) and next prime (218304019).

It is not an unprimeable number, because it can be changed into a prime (218304013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 240235 + ... + 241141.

Almost surely, 2^218304016 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 218304016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247083144).

218304016 is an abundant number, since it is smaller than the sum of its proper divisors (275862272).

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

218304016 is a wasteful number, since it uses less digits than its factorization.

218304016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 218304016 is about 14775.1147542075. The cubic root of 218304016 is about 602.1258074906.

Adding to 218304016 its reverse (610403812), we get a palindrome (828707828).

The spelling of 218304016 in words is "two hundred eighteen million, three hundred four thousand, sixteen".