384823134130241 has 2 divisors, whose sum is σ = 384823134130242. Its totient is φ = 384823134130240.

The previous prime is 384823134130121. The next prime is 384823134130261. The reversal of 384823134130241 is 142031431328483.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 346245010675600 + 38578123454641 = 18607660^2 + 6211129^2 .

It is a cyclic number.

It is not a de Polignac number, because 384823134130241 - 2¹⁸ = 384823133868097 is a prime.

It is not a weakly prime, because it can be changed into another prime (384823134130261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 192411567065120 + 192411567065121.

It is an arithmetic number, because the mean of its divisors is an integer number (192411567065121).

Almost surely, 2^{384823134130241} is an apocalyptic number.

It is an amenable number.

384823134130241 is a deficient number, since it is larger than the sum of its proper divisors (1).

384823134130241 is an equidigital number, since it uses as much as digits as its factorization.

384823134130241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1327104, while the sum is 47.

The spelling of 384823134130241 in words is "three hundred eighty-four trillion, eight hundred twenty-three billion, one hundred thirty-four million, one hundred thirty thousand, two hundred forty-one".