218718312960 has 640 divisors, whose sum is σ = 826518528000. Its totient is φ = 49312972800.

The previous prime is 218718312937. The next prime is 218718312971. The reversal of 218718312960 is 69213817812.

It is a tau number, because it is divible by the number of its divisors (640).

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 63 ways as a sum of consecutive naturals, for example, 208104435 + ... + 208105485.

It is an arithmetic number, because the mean of its divisors is an integer number (1291435200).

Almost surely, 2^218718312960 is an apocalyptic number.

218718312960 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 218718312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413259264000).

218718312960 is an abundant number, since it is smaller than the sum of its proper divisors (607800215040).

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

218718312960 is an equidigital number, since it uses as much as digits as its factorization.

218718312960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The spelling of 218718312960 in words is "two hundred eighteen billion, seven hundred eighteen million, three hundred twelve thousand, nine hundred sixty".