218630016 has 256 divisors, whose sum is σ = 722649600. Its totient is φ = 65318400.

The previous prime is 218629993. The next prime is 218630021. The reversal of 218630016 is 610036812.

218630016 is a `hidden beast` number, since 2 + 18 + 630 + 0 + 16 = 666.

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

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, 3079261 + ... + 3079331.

It is an arithmetic number, because the mean of its divisors is an integer number (2822850).

Almost surely, 2^218630016 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 218630016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361324800).

218630016 is an abundant number, since it is smaller than the sum of its proper divisors (504019584).

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

218630016 is an frugal number, since it uses more digits than its factorization.

218630016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 218630016 is about 14786.1427018679. The cubic root of 218630016 is about 602.4253826545.

Adding to 218630016 its reverse (610036812), we get a palindrome (828666828).

The spelling of 218630016 in words is "two hundred eighteen million, six hundred thirty thousand, sixteen".