9049065984 has 600 divisors, whose sum is σ = 32371235028. Its totient is φ = 2508226560.

The previous prime is 9049065959. The next prime is 9049066001. The reversal of 9049065984 is 4895609409.

9049065984 is a `hidden beast` number, since 9 + 0 + 49 + 0 + 6 + 598 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8414025984 + 635040000 = 91728^2 + 25200^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 9049065984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 123959772 + ... + 123959844.

Almost surely, 2^9049065984 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 9049065984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16185617514).

9049065984 is an abundant number, since it is smaller than the sum of its proper divisors (23322169044).

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

9049065984 is an equidigital number, since it uses as much as digits as its factorization.

9049065984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 9049065984 is about 95126.5787464261. The cubic root of 9049065984 is about 2083.8570248077.

The spelling of 9049065984 in words is "nine billion, forty-nine million, sixty-five thousand, nine hundred eighty-four".