208248933649 has 9 divisors (see below), whose sum is σ = 217707873019. Its totient is φ = 199184592640.

The previous prime is 208248933617. The next prime is 208248933691. The reversal of 208248933649 is 946339842802.

The square root of 208248933649 is 456343.

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

It can be written as a sum of positive squares in only one way, i.e., 1696863249 + 206552070400 = 41193^2 + 454480^2 .

It is not a de Polignac number, because 208248933649 - 2⁵ = 208248933617 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 208248933593 and 208248933602.

It is not an unprimeable number, because it can be changed into a prime (208248933349) 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 8 ways as a sum of consecutive naturals, for example, 10485969 + ... + 10505809.

Almost surely, 2^208248933649 is an apocalyptic number.

208248933649 is the 456343-rd square number.

208248933649 is the 228172-nd centered octagonal number.

It is an amenable number.

208248933649 is a deficient number, since it is larger than the sum of its proper divisors (9458939370).

208248933649 is an frugal number, since it uses more digits than its factorization.

208248933649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39728 (or 19864 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 58.

The spelling of 208248933649 in words is "two hundred eight billion, two hundred forty-eight million, nine hundred thirty-three thousand, six hundred forty-nine".