34113422401 has 2 divisors, whose sum is σ = 34113422402. Its totient is φ = 34113422400.

The previous prime is 34113422353. The next prime is 34113422437. The reversal of 34113422401 is 10422431143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34008892225 + 104530176 = 184415^2 + 10224^2 .

It is a cyclic number.

It is not a de Polignac number, because 34113422401 - 2²³ = 34105033793 is a prime.

It is not a weakly prime, because it can be changed into another prime (34113422471) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17056711200 + 17056711201.

It is an arithmetic number, because the mean of its divisors is an integer number (17056711201).

Almost surely, 2^34113422401 is an apocalyptic number.

It is an amenable number.

34113422401 is a deficient number, since it is larger than the sum of its proper divisors (1).

34113422401 is an equidigital number, since it uses as much as digits as its factorization.

34113422401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 34113422401 its reverse (10422431143), we get a palindrome (44535853544).

The spelling of 34113422401 in words is "thirty-four billion, one hundred thirteen million, four hundred twenty-two thousand, four hundred one".