9004945144 has 32 divisors (see below), whose sum is σ = 18186971040. Its totient is φ = 4155235200.

The previous prime is 9004945133. The next prime is 9004945181. The reversal of 9004945144 is 4415494009.

9004945144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 9004945097 and 9004945106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 950109 + ... + 959539.

It is an arithmetic number, because the mean of its divisors is an integer number (568342845).

Almost surely, 2^9004945144 is an apocalyptic number.

It is an amenable number.

9004945144 is an abundant number, since it is smaller than the sum of its proper divisors (9182025896).

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

9004945144 is a wasteful number, since it uses less digits than its factorization.

9004945144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18631 (or 18627 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 9004945144 is about 94894.3894231898. The cubic root of 9004945144 is about 2080.4647278903.

The spelling of 9004945144 in words is "nine billion, four million, nine hundred forty-five thousand, one hundred forty-four".