19034320896 has 260 divisors, whose sum is σ = 57516153552. Its totient is φ = 6271893504.

The previous prime is 19034320891. The next prime is 19034320901. The reversal of 19034320896 is 69802343091.

It is a happy number.

19034320896 is a `hidden beast` number, since 19 + 0 + 343 + 208 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (19034320891) and next prime (19034320901).

It is not an unprimeable number, because it can be changed into a prime (19034320891) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 34172650 + ... + 34173206.

Almost surely, 2^19034320896 is an apocalyptic number.

19034320896 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 19034320896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28758076776).

19034320896 is an abundant number, since it is smaller than the sum of its proper divisors (38481832656).

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

19034320896 is an equidigital number, since it uses as much as digits as its factorization.

19034320896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 19034320896 in words is "nineteen billion, thirty-four million, three hundred twenty thousand, eight hundred ninety-six".