218973312 has 96 divisors (see below), whose sum is σ = 635366160. Its totient is φ = 72384000.

The previous prime is 218973281. The next prime is 218973319. The reversal of 218973312 is 213379812.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×218973312² = 95898622736498688, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (218973319) 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, 150187 + ... + 151637.

Almost surely, 2^218973312 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 218973312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317683080).

218973312 is an abundant number, since it is smaller than the sum of its proper divisors (416392848).

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

218973312 is a wasteful number, since it uses less digits than its factorization.

218973312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1587 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 218973312 is about 14797.7468555182. The cubic root of 218973312 is about 602.7405300998.

The spelling of 218973312 in words is "two hundred eighteen million, nine hundred seventy-three thousand, three hundred twelve".