9408705912 has 192 divisors, whose sum is σ = 27623232000. Its totient is φ = 2883340800.

The previous prime is 9408705883. The next prime is 9408705923. The reversal of 9408705912 is 2195078049.

9408705912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15199539 + ... + 15200157.

It is an arithmetic number, because the mean of its divisors is an integer number (143871000).

Almost surely, 2^9408705912 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 9408705912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13811616000).

9408705912 is an abundant number, since it is smaller than the sum of its proper divisors (18214526088).

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

9408705912 is a wasteful number, since it uses less digits than its factorization.

9408705912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 9408705912 is about 96998.4840706287. The cubic root of 9408705912 is about 2111.1056334985.

The spelling of 9408705912 in words is "nine billion, four hundred eight million, seven hundred five thousand, nine hundred twelve".