9144438912 has 192 divisors, whose sum is σ = 30313420800. Its totient is φ = 2591834112.

The previous prime is 9144438911. The next prime is 9144438917. The reversal of 9144438912 is 2198344419.

9144438912 is a `hidden beast` number, since 91 + 44 + 438 + 91 + 2 = 666.

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 not an unprimeable number, because it can be changed into a prime (9144438911) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1019664 + ... + 1028592.

It is an arithmetic number, because the mean of its divisors is an integer number (157882400).

Almost surely, 2^9144438912 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 9144438912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15156710400).

9144438912 is an abundant number, since it is smaller than the sum of its proper divisors (21168981888).

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

9144438912 is a wasteful number, since it uses less digits than its factorization.

9144438912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9083 (or 9068 counting only the distinct ones).

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

The square root of 9144438912 is about 95626.5596578691. The cubic root of 9144438912 is about 2091.1524143633.

The spelling of 9144438912 in words is "nine billion, one hundred forty-four million, four hundred thirty-eight thousand, nine hundred twelve".