8945484800 has 132 divisors (see below), whose sum is σ = 25342187520. Its totient is φ = 3066961920.

The previous prime is 8945484787. The next prime is 8945484803. The reversal of 8945484800 is 84845498.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is not an unprimeable number, because it can be changed into a prime (8945484803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154241 + ... + 204159.

Almost surely, 2^8945484800 is an apocalyptic number.

8945484800 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 8945484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12671093760).

8945484800 is an abundant number, since it is smaller than the sum of its proper divisors (16396702720).

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

8945484800 is a wasteful number, since it uses less digits than its factorization.

8945484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49956 (or 49933 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 50.

The square root of 8945484800 is about 94580.5730581074. The cubic root of 8945484800 is about 2075.8754558163.

The spelling of 8945484800 in words is "eight billion, nine hundred forty-five million, four hundred eighty-four thousand, eight hundred".