9645846912 has 384 divisors, whose sum is σ = 31365734400. Its totient is φ = 2825072640.

The previous prime is 9645846911. The next prime is 9645846913. The reversal of 9645846912 is 2196485469.

It is an interprime number because it is at equal distance from previous prime (9645846911) and next prime (9645846913).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9645846911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36676093 + ... + 36676355.

It is an arithmetic number, because the mean of its divisors is an integer number (81681600).

Almost surely, 2^9645846912 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 9645846912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15682867200).

9645846912 is an abundant number, since it is smaller than the sum of its proper divisors (21719887488).

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

9645846912 is a wasteful number, since it uses less digits than its factorization.

9645846912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 391 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 9645846912 is about 98213.2725857356. The cubic root of 9645846912 is about 2128.6950732228.

The spelling of 9645846912 in words is "nine billion, six hundred forty-five million, eight hundred forty-six thousand, nine hundred twelve".