34014405121 has 2 divisors, whose sum is σ = 34014405122. Its totient is φ = 34014405120.

The previous prime is 34014405101. The next prime is 34014405223. The reversal of 34014405121 is 12150441043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27604161025 + 6410244096 = 166145^2 + 80064^2 .

It is a cyclic number.

It is not a de Polignac number, because 34014405121 - 2⁹ = 34014404609 is a prime.

It is a super-2 number, since 2×34014405121² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34014405101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17007202560 + 17007202561.

It is an arithmetic number, because the mean of its divisors is an integer number (17007202561).

Almost surely, 2^34014405121 is an apocalyptic number.

It is an amenable number.

34014405121 is a deficient number, since it is larger than the sum of its proper divisors (1).

34014405121 is an equidigital number, since it uses as much as digits as its factorization.

34014405121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 34014405121 its reverse (12150441043), we get a palindrome (46164846164).

The spelling of 34014405121 in words is "thirty-four billion, fourteen million, four hundred five thousand, one hundred twenty-one".