19383791616 has 520 divisors, whose sum is σ = 67911253360. Its totient is φ = 5462360064.

The previous prime is 19383791587. The next prime is 19383791671. The reversal of 19383791616 is 61619738391.

It is a happy number.

19383791616 is a `hidden beast` number, since 19 + 3 + 8 + 3 + 7 + 9 + 1 + 616 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 265531356 + ... + 265531428.

Almost surely, 2^19383791616 is an apocalyptic number.

19383791616 is a gapful number since it is divisible by the number (16) 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 19383791616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33955626680).

19383791616 is an abundant number, since it is smaller than the sum of its proper divisors (48527461744).

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

19383791616 is an frugal number, since it uses more digits than its factorization.

19383791616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 85 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 54.

The spelling of 19383791616 in words is "nineteen billion, three hundred eighty-three million, seven hundred ninety-one thousand, six hundred sixteen".