216332385984 has 672 divisors, whose sum is σ = 772888919040. Its totient is φ = 58496256000.

The previous prime is 216332385967. The next prime is 216332386097. The reversal of 216332385984 is 489583233612.

216332385984 is a `hidden beast` number, since 2 + 16 + 3 + 3 + 2 + 38 + 598 + 4 = 666.

216332385984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×216332385984³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 216332385984.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 237466489 + ... + 237467399.

It is an arithmetic number, because the mean of its divisors is an integer number (1150132320).

Almost surely, 2^216332385984 is an apocalyptic number.

216332385984 is a gapful number since it is divisible by the number (24) 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 216332385984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386444459520).

216332385984 is an abundant number, since it is smaller than the sum of its proper divisors (556556533056).

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

216332385984 is a wasteful number, since it uses less digits than its factorization.

216332385984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 971 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 216332385984 in words is "two hundred sixteen billion, three hundred thirty-two million, three hundred eighty-five thousand, nine hundred eighty-four".