208091981241 has 81 divisors (see below), whose sum is σ = 325483616367. Its totient is φ = 128092816800.

The previous prime is 208091981231. The next prime is 208091981287. The reversal of 208091981241 is 142189190802.

The square root of 208091981241 is 456171.

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., 150012909225 + 58079072016 = 387315^2 + 240996^2 .

It is not a de Polignac number, because 208091981241 - 2⁷ = 208091981113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (208091981231) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1378092516 + ... + 1378092666.

Almost surely, 2^208091981241 is an apocalyptic number.

208091981241 is the 456171-st square number.

208091981241 is the 228086-th centered octagonal number.

It is an amenable number.

208091981241 is a deficient number, since it is larger than the sum of its proper divisors (117391635126).

208091981241 is an equidigital number, since it uses as much as digits as its factorization.

208091981241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

It can be divided in two parts, 2080919 and 81241, that added together give a triangular number (2162160 = T₂₀₇₉).

The spelling of 208091981241 in words is "two hundred eight billion, ninety-one million, nine hundred eighty-one thousand, two hundred forty-one".