248954096209 has 27 divisors (see below), whose sum is σ = 313647371163. Its totient is φ = 196938744912.

The previous prime is 248954096201. The next prime is 248954096213. The reversal of 248954096209 is 902690459842.

The square root of 248954096209 is 498953.

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

248954096209 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., 36827529025 + 212126567184 = 191905^2 + 460572^2 .

It is not a de Polignac number, because 248954096209 - 2³ = 248954096201 is a prime.

It is a super-3 number, since 3×248954096209³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (248954096201) 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, 45401982 + ... + 45407464.

Almost surely, 2^248954096209 is an apocalyptic number.

248954096209 is the 498953-rd square number.

248954096209 is the 249477-th centered octagonal number.

It is an amenable number.

248954096209 is a deficient number, since it is larger than the sum of its proper divisors (64693274954).

248954096209 is an frugal number, since it uses more digits than its factorization.

248954096209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11006 (or 5503 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 58.

The spelling of 248954096209 in words is "two hundred forty-eight billion, nine hundred fifty-four million, ninety-six thousand, two hundred nine".