9854166168 has 288 divisors, whose sum is σ = 34964766720. Its totient is φ = 2476656000.

The previous prime is 9854166151. The next prime is 9854166173. The reversal of 9854166168 is 8616614589.

9854166168 is a `hidden beast` number, since 9 + 8 + 5 + 4 + 16 + 616 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1198953 + ... + 1207143.

It is an arithmetic number, because the mean of its divisors is an integer number (121405440).

Almost surely, 2^9854166168 is an apocalyptic number.

9854166168 is a gapful number since it is divisible by the number (98) 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 9854166168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17482383360).

9854166168 is an abundant number, since it is smaller than the sum of its proper divisors (25110600552).

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

9854166168 is a wasteful number, since it uses less digits than its factorization.

9854166168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8259 (or 8245 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The square root of 9854166168 is about 99268.1528386622. The cubic root of 9854166168 is about 2143.9103807819.

The spelling of 9854166168 in words is "nine billion, eight hundred fifty-four million, one hundred sixty-six thousand, one hundred sixty-eight".