165845016 has 64 divisors (see below), whose sum is σ = 466560000. Its totient is φ = 54576288.

The previous prime is 165844993. The next prime is 165845059. The reversal of 165845016 is 610548561.

165845016 is a `hidden beast` number, since 16 + 584 + 50 + 16 = 666.

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

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 15 ways as a sum of consecutive naturals, for example, 12205 + ... + 21923.

It is an arithmetic number, because the mean of its divisors is an integer number (7290000).

Almost surely, 2^165845016 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 165845016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233280000).

165845016 is an abundant number, since it is smaller than the sum of its proper divisors (300714984).

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

165845016 is a wasteful number, since it uses less digits than its factorization.

165845016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9813 (or 9803 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 165845016 is about 12878.0827765627. The cubic root of 165845016 is about 549.4153743814.

The spelling of 165845016 in words is "one hundred sixty-five million, eight hundred forty-five thousand, sixteen".