19904016384 has 312 divisors, whose sum is σ = 68613713520. Its totient is φ = 5685313536.

The previous prime is 19904016383. The next prime is 19904016403. The reversal of 19904016384 is 48361040991.

19904016384 is a `hidden beast` number, since 1 + 9 + 9 + 0 + 4 + 0 + 1 + 638 + 4 = 666.

It is a super-3 number, since 3×19904016384³ (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (19904016383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5417172 + ... + 5420844.

Almost surely, 2^19904016384 is an apocalyptic number.

19904016384 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 19904016384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34306856760).

19904016384 is an abundant number, since it is smaller than the sum of its proper divisors (48709697136).

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

19904016384 is an equidigital number, since it uses as much as digits as its factorization.

19904016384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3720 (or 3685 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 19904016384 in words is "nineteen billion, nine hundred four million, sixteen thousand, three hundred eighty-four".