165083030112 has 384 divisors, whose sum is σ = 594226741248. Its totient is φ = 38737152000.

The previous prime is 165083030107. The next prime is 165083030131. The reversal of 165083030112 is 211030380561.

165083030112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 165083030112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4498237 + ... + 4534787.

It is an arithmetic number, because the mean of its divisors is an integer number (1547465472).

Almost surely, 2^165083030112 is an apocalyptic number.

165083030112 is a gapful number since it is divisible by the number (12) 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 165083030112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297113370624).

165083030112 is an abundant number, since it is smaller than the sum of its proper divisors (429143711136).

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

165083030112 is a wasteful number, since it uses less digits than its factorization.

165083030112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36642 (or 36634 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 165083030112 in words is "one hundred sixty-five billion, eighty-three million, thirty thousand, one hundred twelve".