168464956160 has 288 divisors, whose sum is σ = 436205952000. Its totient is φ = 62142087168.

The previous prime is 168464956159. The next prime is 168464956169. The reversal of 168464956160 is 61659464861.

It is a junction number, because it is equal to n+sod(n) for n = 168464956096 and 168464956105.

It is not an unprimeable number, because it can be changed into a prime (168464956169) 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, 162140921 + ... + 162141959.

It is an arithmetic number, because the mean of its divisors is an integer number (1514604000).

Almost surely, 2^168464956160 is an apocalyptic number.

168464956160 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 168464956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218102976000).

168464956160 is an abundant number, since it is smaller than the sum of its proper divisors (267740995840).

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

168464956160 is a wasteful number, since it uses less digits than its factorization.

168464956160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 56.

The spelling of 168464956160 in words is "one hundred sixty-eight billion, four hundred sixty-four million, nine hundred fifty-six thousand, one hundred sixty".