9010848000 has 1152 divisors, whose sum is σ = 39671783424. Its totient is φ = 1757184000.

The previous prime is 9010847999. The next prime is 9010848019. The reversal of 9010848000 is 8480109.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 170015974 + ... + 170016026.

It is an arithmetic number, because the mean of its divisors is an integer number (34437312).

Almost surely, 2^9010848000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9010848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19835891712).

9010848000 is an abundant number, since it is smaller than the sum of its proper divisors (30660935424).

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

9010848000 is a wasteful number, since it uses less digits than its factorization.

9010848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 9010848000 is about 94925.4865670964. The cubic root of 9010848000 is about 2080.9192189543.

The spelling of 9010848000 in words is "nine billion, ten million, eight hundred forty-eight thousand".