19354049568 has 576 divisors, whose sum is σ = 71237117952. Its totient is φ = 4853882880.

The previous prime is 19354049563. The next prime is 19354049569. The reversal of 19354049568 is 86594045391.

19354049568 is a `hidden beast` number, since 1 + 9 + 3 + 540 + 4 + 95 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (19354049563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33894723 + ... + 33895293.

It is an arithmetic number, because the mean of its divisors is an integer number (123675552).

Almost surely, 2^19354049568 is an apocalyptic number.

19354049568 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 19354049568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35618558976).

19354049568 is an abundant number, since it is smaller than the sum of its proper divisors (51883068384).

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

19354049568 is a wasteful number, since it uses less digits than its factorization.

19354049568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 19354049568 in words is "nineteen billion, three hundred fifty-four million, forty-nine thousand, five hundred sixty-eight".