165816201838032 has 40 divisors (see below), whose sum is σ = 475953912684480. Its totient is φ = 55272067279200.

The previous prime is 165816201837919. The next prime is 165816201838033. The reversal of 165816201838032 is 230838102618561.

165816201838032 is a `hidden beast` number, since 1 + 6 + 5 + 8 + 1 + 620 + 1 + 8 + 3 + 8 + 0 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 165816201838032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165816201838033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 191916899844 + ... + 191916900707.

It is an arithmetic number, because the mean of its divisors is an integer number (11898847817112).

Almost surely, 2^{165816201838032} is an apocalyptic number.

165816201838032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

165816201838032 is an abundant number, since it is smaller than the sum of its proper divisors (310137710846448).

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

165816201838032 is a wasteful number, since it uses less digits than its factorization.

165816201838032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383833800568 (or 383833800556 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 165816201838032 in words is "one hundred sixty-five trillion, eight hundred sixteen billion, two hundred one million, eight hundred thirty-eight thousand, thirty-two".