241968561409 has 9 divisors (see below), whose sum is σ = 244762141827. Its totient is φ = 239206526064.

The previous prime is 241968561391. The next prime is 241968561503. The reversal of 241968561409 is 904165869142.

The square root of 241968561409 is 491903.

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., 46463095809 + 195505465600 = 215553^2 + 442160^2 .

It is not a de Polignac number, because 241968561409 - 2⁷ = 241968561281 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 241968561409.

It is not an unprimeable number, because it can be changed into a prime (241968591409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 43776604 + ... + 43782130.

Almost surely, 2^241968561409 is an apocalyptic number.

241968561409 is the 491903-rd square number.

241968561409 is the 245952-nd centered octagonal number.

It is an amenable number.

241968561409 is a deficient number, since it is larger than the sum of its proper divisors (2793580418).

241968561409 is an frugal number, since it uses more digits than its factorization.

241968561409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11232 (or 5616 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 55.

The spelling of 241968561409 in words is "two hundred forty-one billion, nine hundred sixty-eight million, five hundred sixty-one thousand, four hundred nine".