168876945792 has 256 divisors, whose sum is σ = 522608832000. Its totient is φ = 53584312320.

The previous prime is 168876945739. The next prime is 168876945793. The reversal of 168876945792 is 297549678861.

168876945792 is a `hidden beast` number, since 1 + 6 + 8 + 87 + 6 + 9 + 457 + 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 168876945792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168876945793) 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, 16766934 + ... + 16777002.

It is an arithmetic number, because the mean of its divisors is an integer number (2041440750).

Almost surely, 2^168876945792 is an apocalyptic number.

168876945792 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 168876945792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261304416000).

168876945792 is an abundant number, since it is smaller than the sum of its proper divisors (353731886208).

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

168876945792 is a wasteful number, since it uses less digits than its factorization.

168876945792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10326 (or 10308 counting only the distinct ones).

The product of its digits is 365783040, while the sum is 72.

The spelling of 168876945792 in words is "one hundred sixty-eight billion, eight hundred seventy-six million, nine hundred forty-five thousand, seven hundred ninety-two".