8144928960 has 168 divisors, whose sum is σ = 30082388400. Its totient is φ = 1861687296.

The previous prime is 8144928947. The next prime is 8144928983. The reversal of 8144928960 is 698294418.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39535 + ... + 133614.

Almost surely, 2^8144928960 is an apocalyptic number.

8144928960 is a gapful number since it is divisible by the number (80) 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 8144928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15041194200).

8144928960 is an abundant number, since it is smaller than the sum of its proper divisors (21937459440).

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

8144928960 is a wasteful number, since it uses less digits than its factorization.

8144928960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173183 (or 173166 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The square root of 8144928960 is about 90249.2601631725. The cubic root of 8144928960 is about 2012.0052066524.

The spelling of 8144928960 in words is "eight billion, one hundred forty-four million, nine hundred twenty-eight thousand, nine hundred sixty".