218834016 has 48 divisors (see below), whose sum is σ = 575201088. Its totient is φ = 72848000.

The previous prime is 218833969. The next prime is 218834051. The reversal of 218834016 is 610438812.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138511 + ... + 140081.

It is an arithmetic number, because the mean of its divisors is an integer number (11983356).

Almost surely, 2^218834016 is an apocalyptic number.

It is an amenable number.

218834016 is an abundant number, since it is smaller than the sum of its proper divisors (356367072).

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

218834016 is a wasteful number, since it uses less digits than its factorization.

218834016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3035 (or 3027 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 218834016 is about 14793.0394442792. The cubic root of 218834016 is about 602.6126954131.

The spelling of 218834016 in words is "two hundred eighteen million, eight hundred thirty-four thousand, sixteen".