218389075296768 has 960 divisors, whose sum is σ = 688714193756160. Its totient is φ = 66428390375424.

The previous prime is 218389075296757. The next prime is 218389075296829. The reversal of 218389075296768 is 867692570983812.

218389075296768 is a `hidden beast` number, since 2 + 1 + 8 + 3 + 89 + 0 + 7 + 529 + 6 + 7 + 6 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 165571701613 + ... + 165571702931.

It is an arithmetic number, because the mean of its divisors is an integer number (717410618496).

Almost surely, 2^{218389075296768} 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 218389075296768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344357096878080).

218389075296768 is an abundant number, since it is smaller than the sum of its proper divisors (470325118459392).

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

218389075296768 is a wasteful number, since it uses less digits than its factorization.

218389075296768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2229 (or 2210 counting only the distinct ones).

The product of its (nonzero) digits is 4389396480, while the sum is 81.

The spelling of 218389075296768 in words is "two hundred eighteen trillion, three hundred eighty-nine billion, seventy-five million, two hundred ninety-six thousand, seven hundred sixty-eight".