248050814209 has 27 divisors (see below), whose sum is σ = 287877012129. Its totient is φ = 213542631720.

The previous prime is 248050814203. The next prime is 248050814227. The reversal of 248050814209 is 902418050842.

The square root of 248050814209 is 498047.

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

It is not a de Polignac number, because 248050814209 - 2²⁹ = 247513943297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (248050814203) 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 26 ways as a sum of consecutive naturals, for example, 104090632 + ... + 104093014.

Almost surely, 2^248050814209 is an apocalyptic number.

248050814209 is the 498047-th square number.

248050814209 is the 249024-th centered octagonal number.

It is an amenable number.

248050814209 is a deficient number, since it is larger than the sum of its proper divisors (39826197920).

248050814209 is an frugal number, since it uses more digits than its factorization.

248050814209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4826 (or 2413 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The spelling of 248050814209 in words is "two hundred forty-eight billion, fifty million, eight hundred fourteen thousand, two hundred nine".