9008289718272 has 1568 divisors, whose sum is σ = 31767774635520. Its totient is φ = 2528292372480.

The previous prime is 9008289718243. The next prime is 9008289718277. The reversal of 9008289718272 is 2728179828009.

It is a super-2 number, since 2×9008289718272² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9008289718277) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 45727358878 + ... + 45727359074.

Almost surely, 2^{9008289718272} 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 9008289718272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15883887317760).

9008289718272 is an abundant number, since it is smaller than the sum of its proper divisors (22759484917248).

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

9008289718272 is a wasteful number, since it uses less digits than its factorization.

9008289718272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 63.

The spelling of 9008289718272 in words is "nine trillion, eight billion, two hundred eighty-nine million, seven hundred eighteen thousand, two hundred seventy-two".