164508926409 has 27 divisors (see below), whose sum is σ = 238922882887. Its totient is φ = 109076390016.

The previous prime is 164508926377. The next prime is 164508926471. The reversal of 164508926409 is 904629805461.

The square root of 164508926409 is 405597.

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

164508926409 is a `hidden beast` number, since 1 + 6 + 4 + 508 + 92 + 6 + 40 + 9 = 666.

164508926409 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 only one way, i.e., 66835175625 + 97673750784 = 258525^2 + 312528^2 .

It is not a de Polignac number, because 164508926409 - 2⁵ = 164508926377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164508926479) 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 26 ways as a sum of consecutive naturals, for example, 429527032 + ... + 429527414.

Almost surely, 2^164508926409 is an apocalyptic number.

164508926409 is the 405597-th square number.

164508926409 is the 202799-th centered octagonal number.

It is an amenable number.

164508926409 is a deficient number, since it is larger than the sum of its proper divisors (74413956478).

164508926409 is an frugal number, since it uses more digits than its factorization.

164508926409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 164508926409 in words is "one hundred sixty-four billion, five hundred eight million, nine hundred twenty-six thousand, four hundred nine".