218214494784 has 1008 divisors, whose sum is σ = 797022495360. Its totient is φ = 56251514880.

The previous prime is 218214494731. The next prime is 218214494831. The reversal of 218214494784 is 487494412812.

218214494784 is a `hidden beast` number, since 2 + 1 + 82 + 1 + 4 + 494 + 78 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 218214494784.

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 143 ways as a sum of consecutive naturals, for example, 2118587277 + ... + 2118587379.

It is an arithmetic number, because the mean of its divisors is an integer number (790696920).

Almost surely, 2^218214494784 is an apocalyptic number.

218214494784 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 218214494784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398511247680).

218214494784 is an abundant number, since it is smaller than the sum of its proper divisors (578808000576).

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

218214494784 is a wasteful number, since it uses less digits than its factorization.

218214494784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 238 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The spelling of 218214494784 in words is "two hundred eighteen billion, two hundred fourteen million, four hundred ninety-four thousand, seven hundred eighty-four".