218778123648896 has 576 divisors, whose sum is σ = 554432370307200. Its totient is φ = 85457525852160.

The previous prime is 218778123648841. The next prime is 218778123648901. The reversal of 218778123648896 is 698846321877812.

It is a self number, because there is not a number n which added to its sum of digits gives 218778123648896.

It is a congruent number.

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, 23002636781 + ... + 23002646291.

It is an arithmetic number, because the mean of its divisors is an integer number (962556198450).

Almost surely, 2^{218778123648896} 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 218778123648896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277216185153600).

218778123648896 is an abundant number, since it is smaller than the sum of its proper divisors (335654246658304).

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

218778123648896 is an equidigital number, since it uses as much as digits as its factorization.

218778123648896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9735 (or 9649 counting only the distinct ones).

The product of its digits is 3121348608, while the sum is 80.

The spelling of 218778123648896 in words is "two hundred eighteen trillion, seven hundred seventy-eight billion, one hundred twenty-three million, six hundred forty-eight thousand, eight hundred ninety-six".