160582311168 has 576 divisors, whose sum is σ = 493248268800. Its totient is φ = 46091206656.

The previous prime is 160582311167. The next prime is 160582311187. The reversal of 160582311168 is 861113285061.

160582311168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160582311167) 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 63 ways as a sum of consecutive naturals, for example, 1077733558 + ... + 1077733706.

It is an arithmetic number, because the mean of its divisors is an integer number (856333800).

Almost surely, 2^160582311168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 160582311168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246624134400).

160582311168 is an abundant number, since it is smaller than the sum of its proper divisors (332665957632).

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

160582311168 is a wasteful number, since it uses less digits than its factorization.

160582311168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The spelling of 160582311168 in words is "one hundred sixty billion, five hundred eighty-two million, three hundred eleven thousand, one hundred sixty-eight".