164406605353 has 8 divisors (see below), whose sum is σ = 164824308648. Its totient is φ = 163989417984.

The previous prime is 164406605333. The next prime is 164406605357. The reversal of 164406605353 is 353506604461.

164406605353 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 16799270544 + 147607334809 = 129612^2 + 384197^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 164406605353 - 2³³ = 155816670761 is a prime.

It is a super-3 number, since 3×164406605353³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164406605357) 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 7 ways as a sum of consecutive naturals, for example, 513201 + ... + 769537.

It is an arithmetic number, because the mean of its divisors is an integer number (20603038581).

Almost surely, 2^164406605353 is an apocalyptic number.

It is an amenable number.

164406605353 is a deficient number, since it is larger than the sum of its proper divisors (417703295).

164406605353 is an equidigital number, since it uses as much as digits as its factorization.

164406605353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257963.

The product of its (nonzero) digits is 777600, while the sum is 43.

The spelling of 164406605353 in words is "one hundred sixty-four billion, four hundred six million, six hundred five thousand, three hundred fifty-three".