165438818688 has 512 divisors, whose sum is σ = 535885217280. Its totient is φ = 44546457600.

The previous prime is 165438818687. The next prime is 165438818719. The reversal of 165438818688 is 886818834561.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165438818683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 217396228 + ... + 217396988.

It is an arithmetic number, because the mean of its divisors is an integer number (1046650815).

Almost surely, 2^165438818688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165438818688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267942608640).

165438818688 is an abundant number, since it is smaller than the sum of its proper divisors (370446398592).

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

165438818688 is a wasteful number, since it uses less digits than its factorization.

165438818688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 934 counting only the distinct ones).

The product of its digits is 70778880, while the sum is 66.

The spelling of 165438818688 in words is "one hundred sixty-five billion, four hundred thirty-eight million, eight hundred eighteen thousand, six hundred eighty-eight".