19814989824 has 480 divisors, whose sum is σ = 68784486400. Its totient is φ = 5589762048.

The previous prime is 19814989807. The next prime is 19814989853. The reversal of 19814989824 is 42898941891.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250822617 + ... + 250822695.

Almost surely, 2^19814989824 is an apocalyptic number.

19814989824 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 19814989824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34392243200).

19814989824 is an abundant number, since it is smaller than the sum of its proper divisors (48969496576).

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

19814989824 is an frugal number, since it uses more digits than its factorization.

19814989824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 91 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 63.

The spelling of 19814989824 in words is "nineteen billion, eight hundred fourteen million, nine hundred eighty-nine thousand, eight hundred twenty-four".