160585473379968 has 512 divisors, whose sum is σ = 585541561651200. Its totient is φ = 42191155998720.

The previous prime is 160585473379967. The next prime is 160585473379999. The reversal of 160585473379968 is 869973374585061.

160585473379968 is a `hidden beast` number, since 1 + 6 + 0 + 5 + 8 + 547 + 3 + 3 + 7 + 9 + 9 + 68 = 666.

It is a super-2 number, since 2×160585473379968² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (160585473379963) 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, 81741703 + ... + 83683193.

It is an arithmetic number, because the mean of its divisors is an integer number (1143635862600).

Almost surely, 2^{160585473379968} is an apocalyptic number.

160585473379968 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 160585473379968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292770780825600).

160585473379968 is an abundant number, since it is smaller than the sum of its proper divisors (424956088271232).

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

160585473379968 is a wasteful number, since it uses less digits than its factorization.

160585473379968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941797 (or 1941779 counting only the distinct ones).

The product of its (nonzero) digits is 8230118400, while the sum is 81.

The spelling of 160585473379968 in words is "one hundred sixty trillion, five hundred eighty-five billion, four hundred seventy-three million, three hundred seventy-nine thousand, nine hundred sixty-eight".