8540283168 has 192 divisors, whose sum is σ = 25682065920. Its totient is φ = 2759049216.

The previous prime is 8540283163. The next prime is 8540283173. The reversal of 8540283168 is 8613820458.

8540283168 is a `hidden beast` number, since 8 + 5 + 402 + 83 + 168 = 666.

It is an interprime number because it is at equal distance from previous prime (8540283163) and next prime (8540283173).

It is not an unprimeable number, because it can be changed into a prime (8540283163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14800896 + ... + 14801472.

It is an arithmetic number, because the mean of its divisors is an integer number (133760760).

Almost surely, 2^8540283168 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 8540283168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12841032960).

8540283168 is an abundant number, since it is smaller than the sum of its proper divisors (17141782752).

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

8540283168 is a wasteful number, since it uses less digits than its factorization.

8540283168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 8540283168 is about 92413.6524978858. The cubic root of 8540283168 is about 2044.0464320803.

The spelling of 8540283168 in words is "eight billion, five hundred forty million, two hundred eighty-three thousand, one hundred sixty-eight".