218018464 has 48 divisors (see below), whose sum is σ = 453660480. Its totient is φ = 102850560.

The previous prime is 218018459. The next prime is 218018501. The reversal of 218018464 is 464810812.

218018464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 188512 + ... + 189664.

It is an arithmetic number, because the mean of its divisors is an integer number (9451260).

Almost surely, 2^218018464 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 218018464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226830240).

218018464 is an abundant number, since it is smaller than the sum of its proper divisors (235642016).

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

218018464 is a wasteful number, since it uses less digits than its factorization.

218018464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 218018464 is about 14765.4483169323. The cubic root of 218018464 is about 601.8631565722.

The spelling of 218018464 in words is "two hundred eighteen million, eighteen thousand, four hundred sixty-four".