164513793609 has 135 divisors (see below), whose sum is σ = 288147755973. Its totient is φ = 93450931200.

The previous prime is 164513793583. The next prime is 164513793641. The reversal of 164513793609 is 906397315461.

The square root of 164513793609 is 405603.

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

164513793609 is a `hidden beast` number, since 1 + 64 + 513 + 7 + 9 + 3 + 60 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 46364855625 + 118148937984 = 215325^2 + 343728^2 .

It is not a de Polignac number, because 164513793609 - 2³¹ = 162366309961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164513793659) 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 134 ways as a sum of consecutive naturals, for example, 682629729 + ... + 682629969.

Almost surely, 2^164513793609 is an apocalyptic number.

164513793609 is the 405603-rd square number.

164513793609 is the 202802-nd centered octagonal number.

It is an amenable number.

164513793609 is a deficient number, since it is larger than the sum of its proper divisors (123633962364).

164513793609 is an equidigital number, since it uses as much as digits as its factorization.

164513793609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 164513793609 in words is "one hundred sixty-four billion, five hundred thirteen million, seven hundred ninety-three thousand, six hundred nine".