168744112625088 has 2016 divisors, whose sum is σ = 702255861635328. Its totient is φ = 37949467852800.

The previous prime is 168744112625021. The next prime is 168744112625161. The reversal of 168744112625088 is 880526211447861.

168744112625088 is a `hidden beast` number, since 1 + 6 + 8 + 7 + 4 + 4 + 112 + 6 + 2 + 508 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 21064047003 + ... + 21064055013.

It is an arithmetic number, because the mean of its divisors is an integer number (348341201208).

Almost surely, 2^{168744112625088} is an apocalyptic number.

168744112625088 is a gapful number since it is divisible by the number (18) 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 168744112625088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351127930817664).

168744112625088 is an abundant number, since it is smaller than the sum of its proper divisors (533511749010240).

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

168744112625088 is a wasteful number, since it uses less digits than its factorization.

168744112625088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8391 (or 8371 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 168744112625088 in words is "one hundred sixty-eight trillion, seven hundred forty-four billion, one hundred twelve million, six hundred twenty-five thousand, eighty-eight".