165418944 has 112 divisors (see below), whose sum is σ = 467002368. Its totient is φ = 51555328.

The previous prime is 165418933. The next prime is 165418951. The reversal of 165418944 is 449814561.

It is a junction number, because it is equal to n+sod(n) for n = 165418896 and 165418905.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 207154 + ... + 207950.

It is an arithmetic number, because the mean of its divisors is an integer number (4169664).

Almost surely, 2^165418944 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 165418944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233501184).

165418944 is an abundant number, since it is smaller than the sum of its proper divisors (301583424).

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

165418944 is a wasteful number, since it uses less digits than its factorization.

165418944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 872 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 165418944 is about 12861.5296135413. The cubic root of 165418944 is about 548.9444703475.

The spelling of 165418944 in words is "one hundred sixty-five million, four hundred eighteen thousand, nine hundred forty-four".