9046128000 has 1024 divisors, whose sum is σ = 39207168000. Its totient is φ = 1791590400.

The previous prime is 9046127903. The next prime is 9046128017. The reversal of 9046128000 is 8216409.

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, 82991946 + ... + 82992054.

It is an arithmetic number, because the mean of its divisors is an integer number (38288250).

Almost surely, 2^9046128000 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 9046128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19603584000).

9046128000 is an abundant number, since it is smaller than the sum of its proper divisors (30161040000).

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

9046128000 is a wasteful number, since it uses less digits than its factorization.

9046128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 9046128000 is about 95111.1349948049. The cubic root of 9046128000 is about 2083.6314766199.

The spelling of 9046128000 in words is "nine billion, forty-six million, one hundred twenty-eight thousand".