8048581632 has 528 divisors, whose sum is σ = 29925829920. Its totient is φ = 2118057984.

The previous prime is 8048581603. The next prime is 8048581637. The reversal of 8048581632 is 2361858408.

8048581632 is a `hidden beast` number, since 8 + 0 + 4 + 8 + 5 + 8 + 1 + 632 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8048581637) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17611548 + ... + 17612004.

Almost surely, 2^8048581632 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 8048581632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14962914960).

8048581632 is an abundant number, since it is smaller than the sum of its proper divisors (21877248288).

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

8048581632 is a wasteful number, since it uses less digits than its factorization.

8048581632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 8048581632 is about 89713.8876205908. The cubic root of 8048581632 is about 2004.0403018178.

The spelling of 8048581632 in words is "eight billion, forty-eight million, five hundred eighty-one thousand, six hundred thirty-two".