168049024940160 has 768 divisors, whose sum is σ = 718434819648000. Its totient is φ = 35456478879744.

The previous prime is 168049024940087. The next prime is 168049024940191. The reversal of 168049024940160 is 61049420940861.

168049024940160 is a `hidden beast` number, since 1 + 6 + 8 + 0 + 4 + 90 + 2 + 494 + 0 + 1 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 168049024940097 and 168049024940106.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87634501 + ... + 89531579.

It is an arithmetic number, because the mean of its divisors is an integer number (935462004750).

Almost surely, 2^{168049024940160} is an apocalyptic number.

168049024940160 is a gapful number since it is divisible by the number (10) 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 168049024940160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359217409824000).

168049024940160 is an abundant number, since it is smaller than the sum of its proper divisors (550385794707840).

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

168049024940160 is a wasteful number, since it uses less digits than its factorization.

168049024940160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1897150 (or 1897109 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 168049024940160 in words is "one hundred sixty-eight trillion, forty-nine billion, twenty-four million, nine hundred forty thousand, one hundred sixty".