165164211216 has 315 divisors, whose sum is σ = 495996939277. Its totient is φ = 53255180160.

The previous prime is 165164211187. The next prime is 165164211221. The reversal of 165164211216 is 612112461561.

The square root of 165164211216 is 406404.

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

165164211216 is a `hidden beast` number, since 1 + 6 + 5 + 1 + 642 + 1 + 1 + 2 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 119066403600 + 46097807616 = 345060^2 + 214704^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2326256461 + ... + 2326256531.

Almost surely, 2^165164211216 is an apocalyptic number.

165164211216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

165164211216 is the 406404-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165164211216

165164211216 is an abundant number, since it is smaller than the sum of its proper divisors (330832728061).

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

165164211216 is an frugal number, since it uses more digits than its factorization.

165164211216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 129 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

Multiplying 165164211216 by its sum of digits (36), we get a square (5945911603776 = 2438424²).

165164211216 divided by its sum of digits (36) gives a square (4587894756 = 67734²).

Adding to 165164211216 its reverse (612112461561), we get a palindrome (777276672777).

The spelling of 165164211216 in words is "one hundred sixty-five billion, one hundred sixty-four million, two hundred eleven thousand, two hundred sixteen".