165445338240 has 1280 divisors, whose sum is σ = 770330373120. Its totient is φ = 32837861376.

The previous prime is 165445338229. The next prime is 165445338241. The reversal of 165445338240 is 42833544561.

165445338240 is a `hidden beast` number, since 1 + 6 + 544 + 53 + 38 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (165445338241) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 80195449 + ... + 80197511.

It is an arithmetic number, because the mean of its divisors is an integer number (601820604).

Almost surely, 2^165445338240 is an apocalyptic number.

165445338240 is a gapful number since it is divisible by the number (10) 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 165445338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385165186560).

165445338240 is an abundant number, since it is smaller than the sum of its proper divisors (604885034880).

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

165445338240 is a wasteful number, since it uses less digits than its factorization.

165445338240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2131 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 165445338240 in words is "one hundred sixty-five billion, four hundred forty-five million, three hundred thirty-eight thousand, two hundred forty".