8003163168 has 1152 divisors, whose sum is σ = 34237292544. Its totient is φ = 1703116800.

The previous prime is 8003163163. The next prime is 8003163193. The reversal of 8003163168 is 8613613008.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8003163163) 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 191 ways as a sum of consecutive naturals, for example, 112720573 + ... + 112720643.

It is an arithmetic number, because the mean of its divisors is an integer number (29719872).

Almost surely, 2^8003163168 is an apocalyptic number.

8003163168 is a gapful number since it is divisible by the number (88) 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 8003163168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17118646272).

8003163168 is an abundant number, since it is smaller than the sum of its proper divisors (26234129376).

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

8003163168 is a wasteful number, since it uses less digits than its factorization.

8003163168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 8003163168 is about 89460.3999991057. The cubic root of 8003163168 is about 2000.2635625992.

It can be divided in two parts, 8003 and 163168, that added together give a palindrome (171171).

The spelling of 8003163168 in words is "eight billion, three million, one hundred sixty-three thousand, one hundred sixty-eight".