218978016 has 48 divisors (see below), whose sum is σ = 588196224. Its totient is φ = 71293824.

The previous prime is 218977991. The next prime is 218978077. The reversal of 218978016 is 610879812.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22396 + ... + 30651.

It is an arithmetic number, because the mean of its divisors is an integer number (12254088).

Almost surely, 2^218978016 is an apocalyptic number.

It is an amenable number.

218978016 is an abundant number, since it is smaller than the sum of its proper divisors (369218208).

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

218978016 is a wasteful number, since it uses less digits than its factorization.

218978016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53103 (or 53095 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 42.

The square root of 218978016 is about 14797.9057977810. The cubic root of 218978016 is about 602.7448461070.

The spelling of 218978016 in words is "two hundred eighteen million, nine hundred seventy-eight thousand, sixteen".