21616843248 has 800 divisors, whose sum is σ = 88526000640. Its totient is φ = 4904478720.

The previous prime is 21616843189. The next prime is 21616843279. The reversal of 21616843248 is 84234861612.

21616843248 is a `hidden beast` number, since 2 + 1 + 616 + 8 + 4 + 3 + 24 + 8 = 666.

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

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 24648186 + ... + 24649062.

Almost surely, 2^21616843248 is an apocalyptic number.

21616843248 is a gapful number since it is divisible by the number (28) 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 21616843248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44263000320).

21616843248 is an abundant number, since it is smaller than the sum of its proper divisors (66909157392).

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

21616843248 is a wasteful number, since it uses less digits than its factorization.

21616843248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 932 counting only the distinct ones).

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

The spelling of 21616843248 in words is "twenty-one billion, six hundred sixteen million, eight hundred forty-three thousand, two hundred forty-eight".