218313830304 has 144 divisors (see below), whose sum is σ = 640851899688. Its totient is φ = 70444394496.

The previous prime is 218313830279. The next prime is 218313830347. The reversal of 218313830304 is 403038313812.

218313830304 is a `hidden beast` number, since 2 + 1 + 8 + 313 + 8 + 30 + 304 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 217286499600 + 1027330704 = 466140^2 + 32052^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2047234 + ... + 2151230.

Almost surely, 2^218313830304 is an apocalyptic number.

218313830304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218313830304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320425949844).

218313830304 is an abundant number, since it is smaller than the sum of its proper divisors (422538069384).

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

218313830304 is a wasteful number, since it uses less digits than its factorization.

218313830304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104247 (or 104236 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 218313830304 in words is "two hundred eighteen billion, three hundred thirteen million, eight hundred thirty thousand, three hundred four".