160306223616 has 1440 divisors, whose sum is σ = 640394726400. Its totient is φ = 38041436160.

The previous prime is 160306223599. The next prime is 160306223629. The reversal of 160306223616 is 616322603061.

160306223616 is a `hidden beast` number, since 1 + 6 + 0 + 30 + 6 + 2 + 2 + 3 + 616 = 666.

It is a super-2 number, since 2×160306223616² (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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2029192665 + ... + 2029192743.

It is an arithmetic number, because the mean of its divisors is an integer number (444718560).

Almost surely, 2^160306223616 is an apocalyptic number.

160306223616 is a gapful number since it is divisible by the number (16) 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 160306223616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320197363200).

160306223616 is an abundant number, since it is smaller than the sum of its proper divisors (480088502784).

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

160306223616 is a wasteful number, since it uses less digits than its factorization.

160306223616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Adding to 160306223616 its reverse (616322603061), we get a palindrome (776628826677).

The spelling of 160306223616 in words is "one hundred sixty billion, three hundred six million, two hundred twenty-three thousand, six hundred sixteen".