8813248480 has 96 divisors (see below), whose sum is σ = 22065099840. Its totient is φ = 3320647680.

The previous prime is 8813248469. The next prime is 8813248501. The reversal of 8813248480 is 848423188.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 8813248480.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167077 + ... + 213403.

It is an arithmetic number, because the mean of its divisors is an integer number (229844790).

Almost surely, 2^8813248480 is an apocalyptic number.

8813248480 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 8813248480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11032549920).

8813248480 is an abundant number, since it is smaller than the sum of its proper divisors (13251851360).

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

8813248480 is a wasteful number, since it uses less digits than its factorization.

8813248480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46412 (or 46404 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 46.

The square root of 8813248480 is about 93878.9032743779. The cubic root of 8813248480 is about 2065.5957828077.

The spelling of 8813248480 in words is "eight billion, eight hundred thirteen million, two hundred forty-eight thousand, four hundred eighty".