218809344320 has 224 divisors, whose sum is σ = 628131840000. Its totient is φ = 70922594304.

The previous prime is 218809344277. The next prime is 218809344343. The reversal of 218809344320 is 23443908812.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21232289 + ... + 21242591.

It is an arithmetic number, because the mean of its divisors is an integer number (2804160000).

Almost surely, 2^218809344320 is an apocalyptic number.

218809344320 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 218809344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314065920000).

218809344320 is an abundant number, since it is smaller than the sum of its proper divisors (409322495680).

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

218809344320 is a wasteful number, since it uses less digits than its factorization.

218809344320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10845 (or 10835 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 44.

The spelling of 218809344320 in words is "two hundred eighteen billion, eight hundred nine million, three hundred forty-four thousand, three hundred twenty".