218683353856 has 144 divisors (see below), whose sum is σ = 489079882368. Its totient is φ = 96729292800.

The previous prime is 218683353853. The next prime is 218683353869. The reversal of 218683353856 is 658353386812.

218683353856 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 218683353856.

It is not an unprimeable number, because it can be changed into a prime (218683353851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34022515 + ... + 34028941.

It is an arithmetic number, because the mean of its divisors is an integer number (3396388072).

Almost surely, 2^218683353856 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 218683353856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244539941184).

218683353856 is an abundant number, since it is smaller than the sum of its proper divisors (270396528512).

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

218683353856 is a wasteful number, since it uses less digits than its factorization.

218683353856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6778 (or 6764 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 58.

The spelling of 218683353856 in words is "two hundred eighteen billion, six hundred eighty-three million, three hundred fifty-three thousand, eight hundred fifty-six".