9448056000 has 896 divisors, whose sum is σ = 38343352320. Its totient is φ = 2267136000.

The previous prime is 9448055999. The next prime is 9448056011. The reversal of 9448056000 is 6508449.

9448056000 is a `hidden beast` number, since 9 + 4 + 48 + 0 + 5 + 600 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 113831959 + ... + 113832041.

It is an arithmetic number, because the mean of its divisors is an integer number (42793920).

Almost surely, 2^9448056000 is an apocalyptic number.

9448056000 is a gapful number since it is divisible by the number (90) 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 9448056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19171676160).

9448056000 is an abundant number, since it is smaller than the sum of its proper divisors (28895296320).

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

9448056000 is a wasteful number, since it uses less digits than its factorization.

9448056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 141 counting only the distinct ones).

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

The square root of 9448056000 is about 97201.1111047605. Note that the first 4 decimals coincide. The cubic root of 9448056000 is about 2114.0446366748.

The spelling of 9448056000 in words is "nine billion, four hundred forty-eight million, fifty-six thousand".