23201263727441 has 2 divisors, whose sum is σ = 23201263727442. Its totient is φ = 23201263727440.

The previous prime is 23201263727423. The next prime is 23201263727503. The reversal of 23201263727441 is 14472736210232.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22641466473025 + 559797254416 = 4758305^2 + 748196^2 .

It is a cyclic number.

It is not a de Polignac number, because 23201263727441 - 2³⁰ = 23200189985617 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 23201263727392 and 23201263727401.

It is not a weakly prime, because it can be changed into another prime (23201263727041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11600631863720 + 11600631863721.

It is an arithmetic number, because the mean of its divisors is an integer number (11600631863721).

Almost surely, 2^{23201263727441} is an apocalyptic number.

It is an amenable number.

23201263727441 is a deficient number, since it is larger than the sum of its proper divisors (1).

23201263727441 is an equidigital number, since it uses as much as digits as its factorization.

23201263727441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 677376, while the sum is 44.

Adding to 23201263727441 its reverse (14472736210232), we get a palindrome (37673999937673).

The spelling of 23201263727441 in words is "twenty-three trillion, two hundred one billion, two hundred sixty-three million, seven hundred twenty-seven thousand, four hundred forty-one".