8009332048 has 80 divisors (see below), whose sum is σ = 16758213120. Its totient is φ = 3696029568.

The previous prime is 8009332007. The next prime is 8009332049. The reversal of 8009332048 is 8402339008.

It is a junction number, because it is equal to n+sod(n) for n = 8009331998 and 8009332016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8009332049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8457111 + ... + 8458057.

It is an arithmetic number, because the mean of its divisors is an integer number (209477664).

Almost surely, 2^8009332048 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 8009332048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8379106560).

8009332048 is an abundant number, since it is smaller than the sum of its proper divisors (8748881072).

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

8009332048 is a wasteful number, since it uses less digits than its factorization.

8009332048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 8009332048 is about 89494.8716296079. The cubic root of 8009332048 is about 2000.7773684766. Note that the first 3 decimals are identical.

The spelling of 8009332048 in words is "eight billion, nine million, three hundred thirty-two thousand, forty-eight".