168523768195776 has 1680 divisors, whose sum is σ = 639371117800800. Its totient is φ = 43584951287808.

The previous prime is 168523768195771. The next prime is 168523768195801. The reversal of 168523768195776 is 677591867325861.

168523768195776 is a `hidden beast` number, since 1 + 6 + 8 + 5 + 2 + 37 + 6 + 8 + 1 + 9 + 577 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 168523768195695 and 168523768195704.

It is not an unprimeable number, because it can be changed into a prime (168523768195771) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 13576386946 + ... + 13576399358.

It is an arithmetic number, because the mean of its divisors is an integer number (380578046310).

Almost surely, 2^{168523768195776} is an apocalyptic number.

168523768195776 is a gapful number since it is divisible by the number (16) 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 168523768195776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319685558900400).

168523768195776 is an abundant number, since it is smaller than the sum of its proper divisors (470847349605024).

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

168523768195776 is a wasteful number, since it uses less digits than its factorization.

168523768195776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12596 (or 12570 counting only the distinct ones).

The product of its digits is 6401203200, while the sum is 81.

The spelling of 168523768195776 in words is "one hundred sixty-eight trillion, five hundred twenty-three billion, seven hundred sixty-eight million, one hundred ninety-five thousand, seven hundred seventy-six".