9168668414100 has 216 divisors, whose sum is σ = 30951676075320. Its totient is φ = 2256733347840.

The previous prime is 9168668414041. The next prime is 9168668414111. The reversal of 9168668414100 is 14148668619.

9168668414100 is a `hidden beast` number, since 9 + 1 + 68 + 6 + 68 + 414 + 100 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 5203161729936 + 3965506684164 = 2281044^2 + 1991358^2 .

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, 237455596 + ... + 237494204.

It is an arithmetic number, because the mean of its divisors is an integer number (143294796645).

Almost surely, 2^{9168668414100} is an apocalyptic number.

9168668414100 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 9168668414100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15475838037660).

9168668414100 is an abundant number, since it is smaller than the sum of its proper divisors (21783007661220).

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

9168668414100 is a wasteful number, since it uses less digits than its factorization.

9168668414100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58939 (or 58929 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 9168668414100 in words is "nine trillion, one hundred sixty-eight billion, six hundred sixty-eight million, four hundred fourteen thousand, one hundred".