218164284 has 144 divisors (see below), whose sum is σ = 626257632. Its totient is φ = 63576576.

The previous prime is 218164279. The next prime is 218164307. The reversal of 218164284 is 482461812.

218164284 is a `hidden beast` number, since 2 + 1 + 8 + 1 + 642 + 8 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 744442 + ... + 744734.

Almost surely, 2^218164284 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 218164284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313128816).

218164284 is an abundant number, since it is smaller than the sum of its proper divisors (408093348).

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

218164284 is a wasteful number, since it uses less digits than its factorization.

218164284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 391 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 218164284 is about 14770.3853707342. The cubic root of 218164284 is about 601.9973105401.

The spelling of 218164284 in words is "two hundred eighteen million, one hundred sixty-four thousand, two hundred eighty-four".