21648702816 has 288 divisors, whose sum is σ = 69068982528. Its totient is φ = 6630750720.

The previous prime is 21648702799. The next prime is 21648702821. The reversal of 21648702816 is 61820784612.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 33459805 + ... + 33460451.

It is an arithmetic number, because the mean of its divisors is an integer number (239822856).

Almost surely, 2^21648702816 is an apocalyptic number.

21648702816 is a gapful number since it is divisible by the number (26) 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 21648702816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34534491264).

21648702816 is an abundant number, since it is smaller than the sum of its proper divisors (47420279712).

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

21648702816 is a wasteful number, since it uses less digits than its factorization.

21648702816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 21648702816 in words is "twenty-one billion, six hundred forty-eight million, seven hundred two thousand, eight hundred sixteen".