9138294144 has 192 divisors, whose sum is σ = 30293053440. Its totient is φ = 2590092288.

The previous prime is 9138294133. The next prime is 9138294157. The reversal of 9138294144 is 4414928319.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 9138294144.

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 23 ways as a sum of consecutive naturals, for example, 1019667 + ... + 1028589.

It is an arithmetic number, because the mean of its divisors is an integer number (157776320).

Almost surely, 2^9138294144 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 9138294144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15146526720).

9138294144 is an abundant number, since it is smaller than the sum of its proper divisors (21154759296).

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

9138294144 is a wasteful number, since it uses less digits than its factorization.

9138294144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9077 (or 9062 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 9138294144 is about 95594.4252767911. The cubic root of 9138294144 is about 2090.6839137507.

The spelling of 9138294144 in words is "nine billion, one hundred thirty-eight million, two hundred ninety-four thousand, one hundred forty-four".