164064729275168 has 18 divisors (see below), whose sum is σ = 323002578411009. Its totient is φ = 82032328408896.

The previous prime is 164064729275159. The next prime is 164064729275261. The reversal of 164064729275168 is 861572927460461.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 143262993439504 + 20801735835664 = 11969252^2 + 4560892^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=9057172.

It is a super-2 number, since 2×164064729275168² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 164064729275098 and 164064729275107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 71325230 + ... + 73589522.

Almost surely, 2^{164064729275168} is an apocalyptic number.

It is an amenable number.

164064729275168 is a deficient number, since it is larger than the sum of its proper divisors (158937849135841).

164064729275168 is an frugal number, since it uses more digits than its factorization.

164064729275168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4528596 (or 2264295 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 68.

The spelling of 164064729275168 in words is "one hundred sixty-four trillion, sixty-four billion, seven hundred twenty-nine million, two hundred seventy-five thousand, one hundred sixty-eight".