19148964658209 has 135 divisors (see below), whose sum is σ = 31270802288187. Its totient is φ = 11675182634496.

The previous prime is 19148964658091. The next prime is 19148964658301. The reversal of 19148964658209 is 90285646984191.

The square root of 19148964658209 is 4375953.

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

19148964658209 is a `hidden beast` number, since 1 + 9 + 1 + 4 + 89 + 6 + 465 + 82 + 0 + 9 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 5493515630625 + 13655449027584 = 2343825^2 + 3695328^2 .

It is not a de Polignac number, because 19148964658209 - 2²⁵ = 19148931103777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (19148964658309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 24772269547 + ... + 24772270319.

Almost surely, 2^{19148964658209} is an apocalyptic number.

19148964658209 is the 4375953-rd square number.

19148964658209 is the 2187977-th centered octagonal number.

It is an amenable number.

19148964658209 is a deficient number, since it is larger than the sum of its proper divisors (12121837629978).

19148964658209 is an frugal number, since it uses more digits than its factorization.

19148964658209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 72.

The spelling of 19148964658209 in words is "nineteen trillion, one hundred forty-eight billion, nine hundred sixty-four million, six hundred fifty-eight thousand, two hundred nine".