165049344 has 66 divisors (see below), whose sum is σ = 476603010. Its totient is φ = 55013376.

The previous prime is 165049331. The next prime is 165049361. The reversal of 165049344 is 443940561.

165049344 is a `hidden beast` number, since 165 + 0 + 493 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 137170944 + 27878400 = 11712^2 + 5280^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 165049299 and 165049308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 262 + ... + 18170.

Almost surely, 2^165049344 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 165049344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238301505).

165049344 is an abundant number, since it is smaller than the sum of its proper divisors (311553666).

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

165049344 is a wasteful number, since it uses less digits than its factorization.

165049344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17935 (or 17914 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 165049344 is about 12847.1531476822. The cubic root of 165049344 is about 548.5353250049.

The spelling of 165049344 in words is "one hundred sixty-five million, forty-nine thousand, three hundred forty-four".