21983284224 has 528 divisors, whose sum is σ = 74489838720. Its totient is φ = 6347980800.

The previous prime is 21983284217. The next prime is 21983284289. The reversal of 21983284224 is 42248238912.

21983284224 is a `hidden beast` number, since 2 + 198 + 32 + 8 + 422 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 21983284224.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 511239147 + ... + 511239189.

It is an arithmetic number, because the mean of its divisors is an integer number (141079240).

Almost surely, 2^21983284224 is an apocalyptic number.

21983284224 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 21983284224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37244919360).

21983284224 is an abundant number, since it is smaller than the sum of its proper divisors (52506554496).

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

21983284224 is a wasteful number, since it uses less digits than its factorization.

21983284224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 100 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 21983284224 in words is "twenty-one billion, nine hundred eighty-three million, two hundred eighty-four thousand, two hundred twenty-four".