21844840000 has 105 divisors (see below), whose sum is σ = 54241502007. Its totient is φ = 8726112000.

The previous prime is 21844839983. The next prime is 21844840007. The reversal of 21844840000 is 4844812.

The square root of 21844840000 is 147800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 1712635456 + 20132204544 = 41384^2 + 141888^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21844840007) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 29559631 + ... + 29560369.

Almost surely, 2^21844840000 is an apocalyptic number.

21844840000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

21844840000 is the 147800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21844840000

21844840000 is an abundant number, since it is smaller than the sum of its proper divisors (32396662007).

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

21844840000 is an frugal number, since it uses more digits than its factorization.

21844840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 31.

The spelling of 21844840000 in words is "twenty-one billion, eight hundred forty-four million, eight hundred forty thousand".