216818354188800 has 4800 divisors, whose sum is σ = 1017190466476800. Its totient is φ = 45509262704640.

The previous prime is 216818354188753. The next prime is 216818354188819. The reversal of 216818354188800 is 8881453818612.

216818354188800 is a `hidden beast` number, since 2 + 1 + 6 + 8 + 1 + 8 + 3 + 541 + 8 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1123411161504 + ... + 1123411161696.

It is an arithmetic number, because the mean of its divisors is an integer number (211914680516).

Almost surely, 2^{216818354188800} is an apocalyptic number.

216818354188800 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 216818354188800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508595233238400).

216818354188800 is an abundant number, since it is smaller than the sum of its proper divisors (800372112288000).

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

216818354188800 is an frugal number, since it uses more digits than its factorization.

216818354188800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 23592960, while the sum is 63.

The spelling of 216818354188800 in words is "two hundred sixteen trillion, eight hundred eighteen billion, three hundred fifty-four million, one hundred eighty-eight thousand, eight hundred".