9006416112 has 80 divisors (see below), whose sum is σ = 24122900480. Its totient is φ = 2892499200.

The previous prime is 9006416063. The next prime is 9006416113. The reversal of 9006416112 is 2116146009.

It is a happy number.

It is a super-2 number, since 2×9006416112² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9006416112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9006416113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 327537 + ... + 353967.

It is an arithmetic number, because the mean of its divisors is an integer number (301536256).

Almost surely, 2^9006416112 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 9006416112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12061450240).

9006416112 is an abundant number, since it is smaller than the sum of its proper divisors (15116484368).

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

9006416112 is a wasteful number, since it uses less digits than its factorization.

9006416112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26702 (or 26696 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 9006416112 is about 94902.1396597569. The cubic root of 9006416112 is about 2080.5780038134.

The spelling of 9006416112 in words is "nine billion, six million, four hundred sixteen thousand, one hundred twelve".