168065908992 has 144 divisors (see below), whose sum is σ = 509123280960. Its totient is φ = 54655488000.

The previous prime is 168065908991. The next prime is 168065908999. The reversal of 168065908992 is 299809560861.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×168065908992² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (168065908991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13134 + ... + 579917.

It is an arithmetic number, because the mean of its divisors is an integer number (3535578340).

Almost surely, 2^168065908992 is an apocalyptic number.

168065908992 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 168065908992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254561640480).

168065908992 is an abundant number, since it is smaller than the sum of its proper divisors (341057371968).

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

168065908992 is an equidigital number, since it uses as much as digits as its factorization.

168065908992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593117 (or 593097 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 168065908992 in words is "one hundred sixty-eight billion, sixty-five million, nine hundred eight thousand, nine hundred ninety-two".