168165705312 has 192 divisors, whose sum is σ = 536791691520. Its totient is φ = 50795596800.

The previous prime is 168165705311. The next prime is 168165705319. The reversal of 168165705312 is 213507561861.

168165705312 is a `hidden beast` number, since 1 + 6 + 8 + 16 + 570 + 53 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168165705311) by changing a digit.

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, 2946487 + ... + 3003017.

It is an arithmetic number, because the mean of its divisors is an integer number (2795790060).

Almost surely, 2^168165705312 is an apocalyptic number.

168165705312 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 168165705312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268395845760).

168165705312 is an abundant number, since it is smaller than the sum of its proper divisors (368625986208).

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

168165705312 is a wasteful number, since it uses less digits than its factorization.

168165705312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56874 (or 56860 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 168165705312 in words is "one hundred sixty-eight billion, one hundred sixty-five million, seven hundred five thousand, three hundred twelve".