164322205345 has 32 divisors (see below), whose sum is σ = 210216116736. Its totient is φ = 123130886400.

The previous prime is 164322205297. The next prime is 164322205349. The reversal of 164322205345 is 543502223461.

164322205345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 164322205345 - 2⁷ = 164322205217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164322205349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375490 + ... + 685300.

It is an arithmetic number, because the mean of its divisors is an integer number (6569253648).

Almost surely, 2^164322205345 is an apocalyptic number.

It is an amenable number.

164322205345 is a deficient number, since it is larger than the sum of its proper divisors (45893911391).

164322205345 is a wasteful number, since it uses less digits than its factorization.

164322205345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309961.

The product of its (nonzero) digits is 172800, while the sum is 37.

The spelling of 164322205345 in words is "one hundred sixty-four billion, three hundred twenty-two million, two hundred five thousand, three hundred forty-five".