21446944848 has 240 divisors, whose sum is σ = 70412160000. Its totient is φ = 6091303680.

The previous prime is 21446944843. The next prime is 21446944903. The reversal of 21446944848 is 84844964412.

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

It is a junction number, because it is equal to n+sod(n) for n = 21446944794 and 21446944803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21446944843) by changing a digit.

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, 8938753 + ... + 8941151.

It is an arithmetic number, because the mean of its divisors is an integer number (293384000).

Almost surely, 2^21446944848 is an apocalyptic number.

21446944848 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 21446944848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35206080000).

21446944848 is an abundant number, since it is smaller than the sum of its proper divisors (48965215152).

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

21446944848 is a wasteful number, since it uses less digits than its factorization.

21446944848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2615 (or 2592 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The spelling of 21446944848 in words is "twenty-one billion, four hundred forty-six million, nine hundred forty-four thousand, eight hundred forty-eight".