165508122080016 has 225 divisors, whose sum is σ = 481807169842999. Its totient is φ = 54851196945600.

The previous prime is 165508122079961. The next prime is 165508122080033. The reversal of 165508122080016 is 610080221805561.

The square root of 165508122080016 is 12864996.

It is a perfect power (a square), and thus also a powerful number.

165508122080016 is a `hidden beast` number, since 1 + 6 + 5 + 508 + 122 + 0 + 8 + 0 + 0 + 16 = 666.

It is a Duffinian number.

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 44 ways as a sum of consecutive naturals, for example, 88459711561 + ... + 88459713431.

Almost surely, 2^{165508122080016} is an apocalyptic number.

165508122080016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

165508122080016 is the 12864996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165508122080016

165508122080016 is an abundant number, since it is smaller than the sum of its proper divisors (316299047762983).

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

165508122080016 is an frugal number, since it uses more digits than its factorization.

165508122080016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4144 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

Adding to 165508122080016 its reverse (610080221805561), we get a palindrome (775588343885577).

The spelling of 165508122080016 in words is "one hundred sixty-five trillion, five hundred eight billion, one hundred twenty-two million, eighty thousand, sixteen".