4682736918241 has 2 divisors, whose sum is σ = 4682736918242. Its totient is φ = 4682736918240.

The previous prime is 4682736918151. The next prime is 4682736918253. The reversal of 4682736918241 is 1428196372864.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4190192624016 + 492544294225 = 2046996^2 + 701815^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4682736918241 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4682736918241.

It is not a weakly prime, because it can be changed into another prime (4682736918341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2341368459120 + 2341368459121.

It is an arithmetic number, because the mean of its divisors is an integer number (2341368459121).

Almost surely, 2^{4682736918241} is an apocalyptic number.

It is an amenable number.

4682736918241 is a deficient number, since it is larger than the sum of its proper divisors (1).

4682736918241 is an equidigital number, since it uses as much as digits as its factorization.

4682736918241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27869184, while the sum is 61.

The spelling of 4682736918241 in words is "four trillion, six hundred eighty-two billion, seven hundred thirty-six million, nine hundred eighteen thousand, two hundred forty-one".