218464812 has 72 divisors (see below), whose sum is σ = 600104960. Its totient is φ = 66756960.

The previous prime is 218464777. The next prime is 218464817.

218464812 is a `hidden beast` number, since 2 + 1 + 8 + 4 + 648 + 1 + 2 = 666.

218464812 is nontrivially palindromic in base 10.

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 (218464817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16053 + ... + 26355.

Almost surely, 2^218464812 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 218464812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300052480).

218464812 is an abundant number, since it is smaller than the sum of its proper divisors (381640148).

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

218464812 is a wasteful number, since it uses less digits than its factorization.

218464812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10363 (or 10358 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 218464812 is about 14780.5551993151. Note that the first 3 decimals coincide. The cubic root of 218464812 is about 602.2736069699.

The spelling of 218464812 in words is "two hundred eighteen million, four hundred sixty-four thousand, eight hundred twelve".