218913868800 has 792 divisors, whose sum is σ = 905547634992. Its totient is φ = 49938432000.

The previous prime is 218913868769. The next prime is 218913868807. The reversal of 218913868800 is 8868319812.

218913868800 is a `hidden beast` number, since 2 + 189 + 1 + 386 + 8 + 80 + 0 = 666.

218913868800 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 (792).

It is a super-2 number, since 2×218913868800² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (218913868807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43082260 + ... + 43087340.

It is an arithmetic number, because the mean of its divisors is an integer number (1143368226).

Almost surely, 2^218913868800 is an apocalyptic number.

218913868800 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 218913868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452773817496).

218913868800 is an abundant number, since it is smaller than the sum of its proper divisors (686633766192).

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

218913868800 is a wasteful number, since it uses less digits than its factorization.

218913868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5145 (or 5119 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 218913868800 in words is "two hundred eighteen billion, nine hundred thirteen million, eight hundred sixty-eight thousand, eight hundred".