9001046016 has 312 divisors, whose sum is σ = 27907064640. Its totient is φ = 2786918400.

The previous prime is 9001046011. The next prime is 9001046029. The reversal of 9001046016 is 6106401009.

It is not an unprimeable number, because it can be changed into a prime (9001046011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49729446 + ... + 49729626.

It is an arithmetic number, because the mean of its divisors is an integer number (89445720).

Almost surely, 2^9001046016 is an apocalyptic number.

9001046016 is a gapful number since it is divisible by the number (96) 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 9001046016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13953532320).

9001046016 is an abundant number, since it is smaller than the sum of its proper divisors (18906018624).

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

9001046016 is a wasteful number, since it uses less digits than its factorization.

9001046016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 9001046016 is about 94873.8426332569. The cubic root of 9001046016 is about 2080.1644051509.

The spelling of 9001046016 in words is "nine billion, one million, forty-six thousand, sixteen".