8081584128 has 156 divisors (see below), whose sum is σ = 23917785528. Its totient is φ = 2627665920.

The previous prime is 8081584103. The next prime is 8081584157. The reversal of 8081584128 is 8214851808.

8081584128 is a `hidden beast` number, since 80 + 8 + 158 + 412 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1508751 + ... + 1514097.

It is an arithmetic number, because the mean of its divisors is an integer number (153319138).

Almost surely, 2^8081584128 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 8081584128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11958892764).

8081584128 is an abundant number, since it is smaller than the sum of its proper divisors (15836201400).

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

8081584128 is a wasteful number, since it uses less digits than its factorization.

8081584128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5418 (or 5393 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 45.

The square root of 8081584128 is about 89897.6313814775. The cubic root of 8081584128 is about 2006.7756963799.

The spelling of 8081584128 in words is "eight billion, eighty-one million, five hundred eighty-four thousand, one hundred twenty-eight".