218281216608 has 864 divisors, whose sum is σ = 823211182080. Its totient is φ = 55040394240.

The previous prime is 218281216603. The next prime is 218281216627. The reversal of 218281216608 is 806612182812.

218281216608 is a `hidden beast` number, since 2 + 1 + 8 + 28 + 1 + 2 + 16 + 608 = 666.

218281216608 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218281216603) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2629894135 + ... + 2629894217.

It is an arithmetic number, because the mean of its divisors is an integer number (952790720).

Almost surely, 2^218281216608 is an apocalyptic number.

218281216608 is a gapful number since it is divisible by the number (28) 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 218281216608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411605591040).

218281216608 is an abundant number, since it is smaller than the sum of its proper divisors (604929965472).

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

218281216608 is a wasteful number, since it uses less digits than its factorization.

218281216608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 218281216608 in words is "two hundred eighteen billion, two hundred eighty-one million, two hundred sixteen thousand, six hundred eight".