164144091609 has 9 divisors (see below), whose sum is σ = 237098776863. Its totient is φ = 109428584112.

The previous prime is 164144091599. The next prime is 164144091641. The reversal of 164144091609 is 906190441461.

The square root of 164144091609 is 405147.

It is a perfect power (a square), and thus also a powerful number.

164144091609 is a `hidden beast` number, since 1 + 6 + 41 + 440 + 9 + 160 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6757333209 + 157386758400 = 82203^2 + 396720^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 164144091609 - 2¹⁹ = 164143567321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164144091679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1147917 + ... + 1282965.

Almost surely, 2^164144091609 is an apocalyptic number.

164144091609 is the 405147-th square number.

164144091609 is the 202574-th centered octagonal number.

It is an amenable number.

164144091609 is a deficient number, since it is larger than the sum of its proper divisors (72954685254).

164144091609 is an frugal number, since it uses more digits than its factorization.

164144091609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270104 (or 135052 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 164144091609 in words is "one hundred sixty-four billion, one hundred forty-four million, ninety-one thousand, six hundred nine".