9119141167104 has 256 divisors, whose sum is σ = 27345018758400. Its totient is φ = 3003066482688.

The previous prime is 9119141167093. The next prime is 9119141167139. The reversal of 9119141167104 is 4017611419119.

9119141167104 is a `hidden beast` number, since 91 + 1 + 91 + 411 + 67 + 1 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (256).

It is a self number, because there is not a number n which added to its sum of digits gives 9119141167104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73370997 + ... + 73495179.

It is an arithmetic number, because the mean of its divisors is an integer number (106816479525).

Almost surely, 2^{9119141167104} 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 9119141167104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13672509379200).

9119141167104 is an abundant number, since it is smaller than the sum of its proper divisors (18225877591296).

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

9119141167104 is an equidigital number, since it uses as much as digits as its factorization.

9119141167104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124305 (or 124271 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 45.

The spelling of 9119141167104 in words is "nine trillion, one hundred nineteen billion, one hundred forty-one million, one hundred sixty-seven thousand, one hundred four".