19115968768 has 72 divisors (see below), whose sum is σ = 41868155448. Its totient is φ = 8656207872.

The previous prime is 19115968667. The next prime is 19115968769. The reversal of 19115968768 is 86786951191.

It can be written as a sum of positive squares in 4 ways, for example, as 18939904 + 19097028864 = 4352^2 + 138192^2 .

It is not an unprimeable number, because it can be changed into a prime (19115968769) 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 7 ways as a sum of consecutive naturals, for example, 122196 + ... + 230572.

It is an arithmetic number, because the mean of its divisors is an integer number (581502159).

Almost surely, 2^19115968768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19115968768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20934077724).

19115968768 is an abundant number, since it is smaller than the sum of its proper divisors (22752186680).

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

19115968768 is a wasteful number, since it uses less digits than its factorization.

19115968768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108459 (or 108445 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 61.

The spelling of 19115968768 in words is "nineteen billion, one hundred fifteen million, nine hundred sixty-eight thousand, seven hundred sixty-eight".