218916104 has 48 divisors (see below), whose sum is σ = 454700400. Its totient is φ = 98730720.

The previous prime is 218916101. The next prime is 218916121. The reversal of 218916104 is 401619812.

It is not an unprimeable number, because it can be changed into a prime (218916101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133739 + ... + 135365.

It is an arithmetic number, because the mean of its divisors is an integer number (9472925).

Almost surely, 2^218916104 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 218916104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227350200).

218916104 is an abundant number, since it is smaller than the sum of its proper divisors (235784296).

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

218916104 is a wasteful number, since it uses less digits than its factorization.

218916104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 218916104 is about 14795.8137322690. The cubic root of 218916104 is about 602.6880357522.

The spelling of 218916104 in words is "two hundred eighteen million, nine hundred sixteen thousand, one hundred four".