168040893312 has 192 divisors, whose sum is σ = 486785473200. Its totient is φ = 55640850432.

The previous prime is 168040893301. The next prime is 168040893337. The reversal of 168040893312 is 213398040861.

168040893312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164907139 + ... + 164908157.

Almost surely, 2^168040893312 is an apocalyptic number.

168040893312 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 168040893312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243392736600).

168040893312 is an abundant number, since it is smaller than the sum of its proper divisors (318744579888).

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

168040893312 is a wasteful number, since it uses less digits than its factorization.

168040893312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853 (or 1838 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 168040893312 in words is "one hundred sixty-eight billion, forty million, eight hundred ninety-three thousand, three hundred twelve".