9548801661168 has 960 divisors, whose sum is σ = 36538461388800. Its totient is φ = 2332042099200.

The previous prime is 9548801661167. The next prime is 9548801661251. The reversal of 9548801661168 is 8611661088459.

9548801661168 is a `hidden beast` number, since 9 + 5 + 4 + 8 + 8 + 0 + 1 + 6 + 611 + 6 + 8 = 666.

It is a super-2 number, since 2×9548801661168² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9548801661167) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 496522113 + ... + 496541343.

It is an arithmetic number, because the mean of its divisors is an integer number (38060897280).

Almost surely, 2^{9548801661168} 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 9548801661168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18269230694400).

9548801661168 is an abundant number, since it is smaller than the sum of its proper divisors (26989659727632).

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

9548801661168 is a wasteful number, since it uses less digits than its factorization.

9548801661168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19359 (or 19336 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 9548801661168 in words is "nine trillion, five hundred forty-eight billion, eight hundred one million, six hundred sixty-one thousand, one hundred sixty-eight".