21844759104 has 392 divisors, whose sum is σ = 74864659008. Its totient is φ = 6192184320.

The previous prime is 21844759099. The next prime is 21844759109. The reversal of 21844759104 is 40195744812.

21844759104 is a `hidden beast` number, since 2 + 18 + 4 + 47 + 591 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (21844759099) and next prime (21844759109).

It is a self number, because there is not a number n which added to its sum of digits gives 21844759104.

It is not an unprimeable number, because it can be changed into a prime (21844759109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 68910754 + ... + 68911070.

Almost surely, 2^21844759104 is an apocalyptic number.

21844759104 is a gapful number since it is divisible by the number (24) 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 21844759104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37432329504).

21844759104 is an abundant number, since it is smaller than the sum of its proper divisors (53019899904).

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

21844759104 is an equidigital number, since it uses as much as digits as its factorization.

21844759104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 21844759104 in words is "twenty-one billion, eight hundred forty-four million, seven hundred fifty-nine thousand, one hundred four".