165198426526116 has 135 divisors (see below), whose sum is σ = 432911990329203. Its totient is φ = 54932497159680.

The previous prime is 165198426526099. The next prime is 165198426526207. The reversal of 165198426526116 is 611625624891561.

It is a happy number.

The square root of 165198426526116 is 12852954.

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

165198426526116 is a `hidden beast` number, since 1 + 6 + 5 + 1 + 9 + 8 + 4 + 2 + 6 + 5 + 2 + 611 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37477088100 + 165160949438016 = 193590^2 + 12851496^2 .

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, 155700684226 + ... + 155700685286.

Almost surely, 2^{165198426526116} is an apocalyptic number.

165198426526116 is the 12852954-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165198426526116

165198426526116 is an abundant number, since it is smaller than the sum of its proper divisors (267713563803087).

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

165198426526116 is an frugal number, since it uses more digits than its factorization.

165198426526116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3484 (or 1739 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 63.

The spelling of 165198426526116 in words is "one hundred sixty-five trillion, one hundred ninety-eight billion, four hundred twenty-six million, five hundred twenty-six thousand, one hundred sixteen".