8331048000 has 672 divisors, whose sum is σ = 33206179968. Its totient is φ = 1976832000.

The previous prime is 8331047957. The next prime is 8331048001. The reversal of 8331048000 is 8401338.

It is not an unprimeable number, because it can be changed into a prime (8331048001) 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 95 ways as a sum of consecutive naturals, for example, 53063922 + ... + 53064078.

Almost surely, 2^8331048000 is an apocalyptic number.

8331048000 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 8331048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16603089984).

8331048000 is an abundant number, since it is smaller than the sum of its proper divisors (24875131968).

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

8331048000 is a wasteful number, since it uses less digits than its factorization.

8331048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8331048000 is about 91274.5747730440. The cubic root of 8331048000 is about 2027.2153167940.

Adding to 8331048000 its reverse (8401338), we get a palindrome (8339449338).

The spelling of 8331048000 in words is "eight billion, three hundred thirty-one million, forty-eight thousand".