19968044544 has 240 divisors, whose sum is σ = 66797153280. Its totient is φ = 5624156160.

The previous prime is 19968044533. The next prime is 19968044549. The reversal of 19968044544 is 44544086991.

19968044544 is a `hidden beast` number, since 1 + 9 + 96 + 8 + 0 + 4 + 4 + 544 = 666.

It is a super-2 number, since 2×19968044544² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19968044549) 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 23 ways as a sum of consecutive naturals, for example, 2285817 + ... + 2294535.

It is an arithmetic number, because the mean of its divisors is an integer number (278321472).

Almost surely, 2^19968044544 is an apocalyptic number.

19968044544 is a gapful number since it is divisible by the number (14) 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 19968044544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33398576640).

19968044544 is an abundant number, since it is smaller than the sum of its proper divisors (46829108736).

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

19968044544 is an equidigital number, since it uses as much as digits as its factorization.

19968044544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8821 (or 8802 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 19968044544 in words is "nineteen billion, nine hundred sixty-eight million, forty-four thousand, five hundred forty-four".