9116448000 has 576 divisors, whose sum is σ = 33748565760. Its totient is φ = 2162688000.

The previous prime is 9116447981. The next prime is 9116448127. The reversal of 9116448000 is 8446119.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93983952 + ... + 93984048.

It is an arithmetic number, because the mean of its divisors is an integer number (58591260).

Almost surely, 2^9116448000 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 9116448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16874282880).

9116448000 is an abundant number, since it is smaller than the sum of its proper divisors (24632117760).

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

9116448000 is a wasteful number, since it uses less digits than its factorization.

9116448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 9116448000 is about 95480.0921658541. The cubic root of 9116448000 is about 2089.0165775440.

The spelling of 9116448000 in words is "nine billion, one hundred sixteen million, four hundred forty-eight thousand".