9546112892160 has 864 divisors, whose sum is σ = 38580516662688. Its totient is φ = 2157623377920.

The previous prime is 9546112892123. The next prime is 9546112892167. The reversal of 9546112892160 is 612982116459.

9546112892160 is a `hidden beast` number, since 9 + 5 + 4 + 611 + 2 + 8 + 9 + 2 + 16 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 5758387312896 + 3787725579264 = 2399664^2 + 1946208^2 .

It is a super-2 number, since 2×9546112892160² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9546112892097 and 9546112892106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9546112892167) 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 95 ways as a sum of consecutive naturals, for example, 104336994 + ... + 104428446.

It is an arithmetic number, because the mean of its divisors is an integer number (44653375767).

Almost surely, 2^{9546112892160} is an apocalyptic number.

9546112892160 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9546112892160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19290258331344).

9546112892160 is an abundant number, since it is smaller than the sum of its proper divisors (29034403770528).

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

9546112892160 is a wasteful number, since it uses less digits than its factorization.

9546112892160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91551 (or 91534 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 9546112892160 in words is "nine trillion, five hundred forty-six billion, one hundred twelve million, eight hundred ninety-two thousand, one hundred sixty".