218432686080 has 864 divisors, whose sum is σ = 845537434560. Its totient is φ = 47996928000.

The previous prime is 218432686057. The next prime is 218432686091. The reversal of 218432686080 is 80686234812.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1446574005 + ... + 1446574155.

It is an arithmetic number, because the mean of its divisors is an integer number (978631290).

Almost surely, 2^218432686080 is an apocalyptic number.

218432686080 is a gapful number since it is divisible by the number (20) 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 218432686080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422768717280).

218432686080 is an abundant number, since it is smaller than the sum of its proper divisors (627104748480).

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

218432686080 is a wasteful number, since it uses less digits than its factorization.

218432686080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 218432686080 in words is "two hundred eighteen billion, four hundred thirty-two million, six hundred eighty-six thousand, eighty".