160339050144 has 1728 divisors, whose sum is σ = 663007887360. Its totient is φ = 35712368640.

The previous prime is 160339050143. The next prime is 160339050149. The reversal of 160339050144 is 441050933061.

160339050144 is a `hidden beast` number, since 1 + 60 + 3 + 3 + 90 + 501 + 4 + 4 = 666.

It is a super-2 number, since 2×160339050144² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 160339050099 and 160339050108.

It is not an unprimeable number, because it can be changed into a prime (160339050143) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3411469129 + ... + 3411469175.

It is an arithmetic number, because the mean of its divisors is an integer number (383685120).

Almost surely, 2^160339050144 is an apocalyptic number.

160339050144 is a gapful number since it is divisible by the number (14) 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 160339050144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331503943680).

160339050144 is an abundant number, since it is smaller than the sum of its proper divisors (502668837216).

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

160339050144 is a wasteful number, since it uses less digits than its factorization.

160339050144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 160339050144 in words is "one hundred sixty billion, three hundred thirty-nine million, fifty thousand, one hundred forty-four".