9144834000 has 80 divisors (see below), whose sum is σ = 29482964160. Its totient is φ = 2438620800.

The previous prime is 9144833989. The next prime is 9144834043. The reversal of 9144834000 is 4384419.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 756070 + ... + 768069.

It is an arithmetic number, because the mean of its divisors is an integer number (368537052).

Almost surely, 2^9144834000 is an apocalyptic number.

It is an amenable number.

9144834000 is an abundant number, since it is smaller than the sum of its proper divisors (20338130160).

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

9144834000 is a wasteful number, since it uses less digits than its factorization.

9144834000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524165 (or 1524149 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 9144834000 is about 95628.6254214709. The cubic root of 9144834000 is about 2091.1825302014.

The spelling of 9144834000 in words is "nine billion, one hundred forty-four million, eight hundred thirty-four thousand".