19514400768 has 168 divisors, whose sum is σ = 58465291248. Its totient is φ = 6504136704.

The previous prime is 19514400757. The next prime is 19514400779. The reversal of 19514400768 is 86700441591.

It is an interprime number because it is at equal distance from previous prime (19514400757) and next prime (19514400779).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1985755 + ... + 1995557.

It is an arithmetic number, because the mean of its divisors is an integer number (348007686).

Almost surely, 2^19514400768 is an apocalyptic number.

19514400768 is a gapful number since it is divisible by the number (18) 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 19514400768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29232645624).

19514400768 is an abundant number, since it is smaller than the sum of its proper divisors (38950890480).

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

19514400768 is an frugal number, since it uses more digits than its factorization.

19514400768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9844 (or 9808 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 19514400768 in words is "nineteen billion, five hundred fourteen million, four hundred thousand, seven hundred sixty-eight".