8973112800 has 144 divisors (see below), whose sum is σ = 29491862400. Its totient is φ = 2369533440.

The previous prime is 8973112783. The next prime is 8973112817. The reversal of 8973112800 is 82113798.

8973112800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8973112783) and next prime (8973112817).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 229051 + ... + 265349.

It is an arithmetic number, because the mean of its divisors is an integer number (204804600).

Almost surely, 2^8973112800 is an apocalyptic number.

8973112800 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 8973112800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14745931200).

8973112800 is an abundant number, since it is smaller than the sum of its proper divisors (20518749600).

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

8973112800 is a wasteful number, since it uses less digits than its factorization.

8973112800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36425 (or 36412 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 8973112800 is about 94726.5158231844. The cubic root of 8973112800 is about 2078.0103631866.

The spelling of 8973112800 in words is "eight billion, nine hundred seventy-three million, one hundred twelve thousand, eight hundred".