164849804289 has 45 divisors (see below), whose sum is σ = 248599061337. Its totient is φ = 108864526176.

The previous prime is 164849804279. The next prime is 164849804293. The reversal of 164849804289 is 982408948461.

The square root of 164849804289 is 406017.

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

164849804289 is a `hidden beast` number, since 1 + 64 + 8 + 498 + 0 + 4 + 2 + 89 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 138931380225 + 25918424064 = 372735^2 + 160992^2 .

It is not a de Polignac number, because 164849804289 - 2¹⁵ = 164849771521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164849804209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 719868027 + ... + 719868255.

Almost surely, 2^164849804289 is an apocalyptic number.

164849804289 is the 406017-th square number.

164849804289 is the 203009-th centered octagonal number.

It is an amenable number.

164849804289 is a deficient number, since it is larger than the sum of its proper divisors (83749257048).

164849804289 is an frugal number, since it uses more digits than its factorization.

164849804289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 164849804289 in words is "one hundred sixty-four billion, eight hundred forty-nine million, eight hundred four thousand, two hundred eighty-nine".