168808309148160 has 1800 divisors, whose sum is σ = 686807849898324. Its totient is φ = 39597465600000.

The previous prime is 168808309148131. The next prime is 168808309148201. The reversal of 168808309148160 is 61841903808861.

168808309148160 is a `hidden beast` number, since 1 + 6 + 8 + 8 + 0 + 8 + 3 + 0 + 91 + 481 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 166780487579904 + 2027821568256 = 12914352^2 + 1424016^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 24112024660 + ... + 24112031660.

Almost surely, 2^{168808309148160} is an apocalyptic number.

168808309148160 is a gapful number since it is divisible by the number (10) 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 168808309148160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343403924949162).

168808309148160 is an abundant number, since it is smaller than the sum of its proper divisors (517999540750164).

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

168808309148160 is an equidigital number, since it uses as much as digits as its factorization.

168808309148160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7120 (or 7053 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 63.

The spelling of 168808309148160 in words is "one hundred sixty-eight trillion, eight hundred eight billion, three hundred nine million, one hundred forty-eight thousand, one hundred sixty".