21144733624 has 96 divisors (see below), whose sum is σ = 47011320000. Its totient is φ = 8888285952.

The previous prime is 21144733601. The next prime is 21144733741. The reversal of 21144733624 is 42633744112.

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 23 ways as a sum of consecutive naturals, for example, 4859802 + ... + 4864150.

It is an arithmetic number, because the mean of its divisors is an integer number (489701250).

Almost surely, 2^21144733624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21144733624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23505660000).

21144733624 is an abundant number, since it is smaller than the sum of its proper divisors (25866586376).

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

21144733624 is a wasteful number, since it uses less digits than its factorization.

21144733624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4605 (or 4594 counting only the distinct ones).

The product of its digits is 96768, while the sum is 37.

The spelling of 21144733624 in words is "twenty-one billion, one hundred forty-four million, seven hundred thirty-three thousand, six hundred twenty-four".