19034045568 has 288 divisors, whose sum is σ = 59417277660. Its totient is φ = 5843570688.

The previous prime is 19034045551. The next prime is 19034045581. The reversal of 19034045568 is 86554043091.

19034045568 is a `hidden beast` number, since 1 + 9 + 0 + 3 + 40 + 45 + 568 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16653386304 + 2380659264 = 129048^2 + 48792^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15386646 + ... + 15387882.

Almost surely, 2^19034045568 is an apocalyptic number.

19034045568 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 19034045568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29708638830).

19034045568 is an abundant number, since it is smaller than the sum of its proper divisors (40383232092).

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

19034045568 is a wasteful number, since it uses less digits than its factorization.

19034045568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 19034045568 in words is "nineteen billion, thirty-four million, forty-five thousand, five hundred sixty-eight".