9144434304 has 256 divisors, whose sum is σ = 29023488000. Its totient is φ = 2825321472.

The previous prime is 9144434293. The next prime is 9144434329. The reversal of 9144434304 is 4034344419.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 3084727 + ... + 3087689.

It is an arithmetic number, because the mean of its divisors is an integer number (113373000).

Almost surely, 2^9144434304 is an apocalyptic number.

9144434304 is a gapful number since it is divisible by the number (94) 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 9144434304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14511744000).

9144434304 is an abundant number, since it is smaller than the sum of its proper divisors (19879053696).

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

9144434304 is a wasteful number, since it uses less digits than its factorization.

9144434304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3052 (or 3034 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 9144434304 is about 95626.5355641414. The cubic root of 9144434304 is about 2091.1520631104.

The spelling of 9144434304 in words is "nine billion, one hundred forty-four million, four hundred thirty-four thousand, three hundred four".