19648306944 has 216 divisors, whose sum is σ = 67590951120. Its totient is φ = 5613705216.

The previous prime is 19648306933. The next prime is 19648306957. The reversal of 19648306944 is 44960384691.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309682 + ... + 367694.

It is an arithmetic number, because the mean of its divisors is an integer number (312921070).

Almost surely, 2^19648306944 is an apocalyptic number.

19648306944 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 19648306944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33795475560).

19648306944 is an abundant number, since it is smaller than the sum of its proper divisors (47942644176).

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

19648306944 is an equidigital number, since it uses as much as digits as its factorization.

19648306944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58052 (or 58025 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 19648306944 in words is "nineteen billion, six hundred forty-eight million, three hundred six thousand, nine hundred forty-four".