160340314313088 has 2688 divisors, whose sum is σ = 623051105544000. Its totient is φ = 40821387264000.

The previous prime is 160340314313083. The next prime is 160340314313129. The reversal of 160340314313088 is 880313413043061.

160340314313088 is a `hidden beast` number, since 1 + 60 + 340 + 3 + 1 + 43 + 130 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160340314313083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 399851157688 + ... + 399851158088.

Almost surely, 2^{160340314313088} is an apocalyptic number.

160340314313088 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 160340314313088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311525552772000).

160340314313088 is an abundant number, since it is smaller than the sum of its proper divisors (462710791230912).

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

160340314313088 is an frugal number, since it uses more digits than its factorization.

160340314313088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 160340314313088 in words is "one hundred sixty trillion, three hundred forty billion, three hundred fourteen million, three hundred thirteen thousand, eighty-eight".