216224064000 has 1440 divisors, whose sum is σ = 930901061376. Its totient is φ = 48074342400.

The previous prime is 216224063999. The next prime is 216224064011. The reversal of 216224064000 is 460422612.

216224064000 is a `hidden beast` number, since 2 + 16 + 2 + 2 + 4 + 0 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1326527919 + ... + 1326528081.

Almost surely, 2^216224064000 is an apocalyptic number.

216224064000 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 216224064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465450530688).

216224064000 is an abundant number, since it is smaller than the sum of its proper divisors (714676997376).

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

216224064000 is a wasteful number, since it uses less digits than its factorization.

216224064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 216224064000 its reverse (460422612), we get a palindrome (216684486612).

The spelling of 216224064000 in words is "two hundred sixteen billion, two hundred twenty-four million, sixty-four thousand".