8944056000 has 672 divisors, whose sum is σ = 36494654976. Its totient is φ = 2069760000.

The previous prime is 8944055999. The next prime is 8944056007. The reversal of 8944056000 is 6504498.

8944056000 is a `hidden beast` number, since 8 + 9 + 4 + 40 + 5 + 600 + 0 = 666.

It is a super-2 number, since 2×8944056000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8944056007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18215755 + ... + 18216245.

Almost surely, 2^8944056000 is an apocalyptic number.

8944056000 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 8944056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18247327488).

8944056000 is an abundant number, since it is smaller than the sum of its proper divisors (27550598976).

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

8944056000 is a wasteful number, since it uses less digits than its factorization.

8944056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 8944056000 is about 94573.0194082858. The cubic root of 8944056000 is about 2075.7649282207.

The spelling of 8944056000 in words is "eight billion, nine hundred forty-four million, fifty-six thousand".