8540391168 has 360 divisors, whose sum is σ = 27378766800. Its totient is φ = 2639609856.

The previous prime is 8540391161. The next prime is 8540391169. The reversal of 8540391168 is 8611930458.

8540391168 is a `hidden beast` number, since 8 + 540 + 3 + 91 + 16 + 8 = 666.

It is a super-3 number, since 3×8540391168³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8540391161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20880948 + ... + 20881356.

It is an arithmetic number, because the mean of its divisors is an integer number (76052130).

Almost surely, 2^8540391168 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 8540391168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13689383400).

8540391168 is an abundant number, since it is smaller than the sum of its proper divisors (18838375632).

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

8540391168 is a wasteful number, since it uses less digits than its factorization.

8540391168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 8540391168 is about 92414.2368252857. The cubic root of 8540391168 is about 2044.0550483475.

The spelling of 8540391168 in words is "eight billion, five hundred forty million, three hundred ninety-one thousand, one hundred sixty-eight".