22413434414401 has 2 divisors, whose sum is σ = 22413434414402. Its totient is φ = 22413434414400.

The previous prime is 22413434414387. The next prime is 22413434414407. The reversal of 22413434414401 is 10441443431422.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22228018915600 + 185415498801 = 4714660^2 + 430599^2 .

It is a cyclic number.

It is not a de Polignac number, because 22413434414401 - 2¹⁷ = 22413434283329 is a prime.

It is not a weakly prime, because it can be changed into another prime (22413434414407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11206717207200 + 11206717207201.

It is an arithmetic number, because the mean of its divisors is an integer number (11206717207201).

Almost surely, 2^{22413434414401} is an apocalyptic number.

It is an amenable number.

22413434414401 is a deficient number, since it is larger than the sum of its proper divisors (1).

22413434414401 is an equidigital number, since it uses as much as digits as its factorization.

22413434414401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 147456, while the sum is 37.

Adding to 22413434414401 its reverse (10441443431422), we get a palindrome (32854877845823).

The spelling of 22413434414401 in words is "twenty-two trillion, four hundred thirteen billion, four hundred thirty-four million, four hundred fourteen thousand, four hundred one".