218288066400 has 864 divisors, whose sum is σ = 849316890240. Its totient is φ = 54553927680.

The previous prime is 218288066383. The next prime is 218288066401. The reversal of 218288066400 is 4660882812.

218288066400 is a `hidden beast` number, since 2 + 182 + 8 + 8 + 0 + 66 + 400 = 666.

218288066400 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 (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218288066401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 417376539 + ... + 417377061.

It is an arithmetic number, because the mean of its divisors is an integer number (983005660).

Almost surely, 2^218288066400 is an apocalyptic number.

218288066400 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 218288066400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424658445120).

218288066400 is an abundant number, since it is smaller than the sum of its proper divisors (631028823840).

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

218288066400 is a wasteful number, since it uses less digits than its factorization.

218288066400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 218288066400 in words is "two hundred eighteen billion, two hundred eighty-eight million, sixty-six thousand, four hundred".