168368511168 has 224 divisors, whose sum is σ = 581506705920. Its totient is φ = 47096017920.

The previous prime is 168368511107. The next prime is 168368511187. The reversal of 168368511168 is 861115863861.

It is a happy number.

168368511168 is a `hidden beast` number, since 1 + 6 + 8 + 3 + 68 + 511 + 1 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 93580 + ... + 587787.

It is an arithmetic number, because the mean of its divisors is an integer number (2596012080).

Almost surely, 2^168368511168 is an apocalyptic number.

168368511168 is a gapful number since it is divisible by the number (18) 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 168368511168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290753352960).

168368511168 is an abundant number, since it is smaller than the sum of its proper divisors (413138194752).

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

168368511168 is a wasteful number, since it uses less digits than its factorization.

168368511168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681412 (or 681396 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 54.

The spelling of 168368511168 in words is "one hundred sixty-eight billion, three hundred sixty-eight million, five hundred eleven thousand, one hundred sixty-eight".