218978112 has 56 divisors (see below), whose sum is σ = 583017376. Its totient is φ = 72534528.

The previous prime is 218978107. The next prime is 218978113. The reversal of 218978112 is 211879812.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218978113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27798 + ... + 34794.

Almost surely, 2^218978112 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 218978112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291508688).

218978112 is an abundant number, since it is smaller than the sum of its proper divisors (364039264).

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

218978112 is a wasteful number, since it uses less digits than its factorization.

218978112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7175 (or 7165 counting only the distinct ones).

The product of its digits is 16128, while the sum is 39.

The square root of 218978112 is about 14797.9090414829. The cubic root of 218978112 is about 602.7449341881.

The spelling of 218978112 in words is "two hundred eighteen million, nine hundred seventy-eight thousand, one hundred twelve".