208776800241 has 27 divisors (see below), whose sum is σ = 313204812843. Its totient is φ = 139159859760.

The previous prime is 208776800231. The next prime is 208776800299. The reversal of 208776800241 is 142008677802.

The square root of 208776800241 is 456921.

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., 206414840241 + 2361960000 = 454329^2 + 48600^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 208776800241 - 2⁹ = 208776799729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (208776800231) 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, 37007781 + ... + 37013421.

Almost surely, 2^208776800241 is an apocalyptic number.

208776800241 is the 456921-st square number.

208776800241 is the 228461-st centered octagonal number.

It is an amenable number.

208776800241 is a deficient number, since it is larger than the sum of its proper divisors (104428012602).

208776800241 is an frugal number, since it uses more digits than its factorization.

208776800241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11306 (or 5644 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 208776800241 in words is "two hundred eight billion, seven hundred seventy-six million, eight hundred thousand, two hundred forty-one".