8945124000 has 192 divisors, whose sum is σ = 30847340160. Its totient is φ = 2259763200.

The previous prime is 8945123963. The next prime is 8945124007. The reversal of 8945124000 is 4215498.

It is not an unprimeable number, because it can be changed into a prime (8945124007) 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 31 ways as a sum of consecutive naturals, for example, 208384 + ... + 247616.

It is an arithmetic number, because the mean of its divisors is an integer number (160663230).

Almost surely, 2^8945124000 is an apocalyptic number.

8945124000 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 8945124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15423670080).

8945124000 is an abundant number, since it is smaller than the sum of its proper divisors (21902216160).

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

8945124000 is a wasteful number, since it uses less digits than its factorization.

8945124000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39280 (or 39262 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 8945124000 is about 94578.6656704354. The cubic root of 8945124000 is about 2075.8475465432.

Adding to 8945124000 its reverse (4215498), we get a palindrome (8949339498).

The spelling of 8945124000 in words is "eight billion, nine hundred forty-five million, one hundred twenty-four thousand".