8181387168 has 96 divisors (see below), whose sum is σ = 21660452352. Its totient is φ = 2703840000.

The previous prime is 8181387167. The next prime is 8181387169. The reversal of 8181387168 is 8617831818.

It is an interprime number because it is at equal distance from previous prime (8181387167) and next prime (8181387169).

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 8181387168.

It is not an unprimeable number, because it can be changed into a prime (8181387163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6336603 + ... + 6337893.

It is an arithmetic number, because the mean of its divisors is an integer number (225629712).

Almost surely, 2^8181387168 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 8181387168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10830226176).

8181387168 is an abundant number, since it is smaller than the sum of its proper divisors (13479065184).

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

8181387168 is a wasteful number, since it uses less digits than its factorization.

8181387168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 1810 counting only the distinct ones).

The product of its digits is 516096, while the sum is 51.

The square root of 8181387168 is about 90451.0208234269. The cubic root of 8181387168 is about 2015.0027743088.

The spelling of 8181387168 in words is "eight billion, one hundred eighty-one million, three hundred eighty-seven thousand, one hundred sixty-eight".