9546868325120 has 288 divisors, whose sum is σ = 26686029363840. Its totient is φ = 3204413521920.

The previous prime is 9546868325077. The next prime is 9546868325149. The reversal of 9546868325120 is 215238686459.

It is a happy number.

9546868325120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9546868325120² (a number of 27 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 9546868325120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218897876 + ... + 218941484.

It is an arithmetic number, because the mean of its divisors is an integer number (92659824180).

Almost surely, 2^{9546868325120} 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 9546868325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13343014681920).

9546868325120 is an abundant number, since it is smaller than the sum of its proper divisors (17139161038720).

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

9546868325120 is a wasteful number, since it uses less digits than its factorization.

9546868325120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44151 (or 44137 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 59.

The spelling of 9546868325120 in words is "nine trillion, five hundred forty-six billion, eight hundred sixty-eight million, three hundred twenty-five thousand, one hundred twenty".