168845668992 has 2304 divisors, whose sum is σ = 746629228800. Its totient is φ = 36787322880.

The previous prime is 168845668969. The next prime is 168845669011. The reversal of 168845668992 is 299866548861.

168845668992 is a `hidden beast` number, since 1 + 6 + 8 + 8 + 456 + 6 + 89 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 168845668992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5822264434 + ... + 5822264462.

It is an arithmetic number, because the mean of its divisors is an integer number (324057825).

Almost surely, 2^168845668992 is an apocalyptic number.

168845668992 is a gapful number since it is divisible by the number (12) 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 168845668992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373314614400).

168845668992 is an abundant number, since it is smaller than the sum of its proper divisors (577783559808).

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

168845668992 is a wasteful number, since it uses less digits than its factorization.

168845668992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 82 counting only the distinct ones).

The product of its digits is 358318080, while the sum is 72.

The spelling of 168845668992 in words is "one hundred sixty-eight billion, eight hundred forty-five million, six hundred sixty-eight thousand, nine hundred ninety-two".