218228834387200 has 864 divisors, whose sum is σ = 678418687924992. Its totient is φ = 67660185600000.

The previous prime is 218228834387197. The next prime is 218228834387231. The reversal of 218228834387200 is 2783438822812.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8917114164 + ... + 8917138636.

It is an arithmetic number, because the mean of its divisors is an integer number (785206814728).

Almost surely, 2^{218228834387200} is an apocalyptic number.

218228834387200 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 218228834387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339209343962496).

218228834387200 is an abundant number, since it is smaller than the sum of its proper divisors (460189853537792).

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

218228834387200 is a wasteful number, since it uses less digits than its factorization.

218228834387200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24831 (or 24812 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 58.

The spelling of 218228834387200 in words is "two hundred eighteen trillion, two hundred twenty-eight billion, eight hundred thirty-four million, three hundred eighty-seven thousand, two hundred".