216284973984 has 120 divisors (see below), whose sum is σ = 636380968608. Its totient is φ = 72061799040.

The previous prime is 216284973941. The next prime is 216284973997. The reversal of 216284973984 is 489379482612.

216284973984 is a `hidden beast` number, since 2 + 1 + 62 + 8 + 497 + 3 + 9 + 84 = 666.

216284973984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 19 ways as a sum of consecutive naturals, for example, 5972059 + ... + 6008165.

Almost surely, 2^216284973984 is an apocalyptic number.

216284973984 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 216284973984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318190484304).

216284973984 is an abundant number, since it is smaller than the sum of its proper divisors (420095994624).

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

216284973984 is a wasteful number, since it uses less digits than its factorization.

216284973984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38440 (or 38423 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 216284973984 in words is "two hundred sixteen billion, two hundred eighty-four million, nine hundred seventy-three thousand, nine hundred eighty-four".