34362459805889 has 2 divisors, whose sum is σ = 34362459805890. Its totient is φ = 34362459805888.

The previous prime is 34362459805837. The next prime is 34362459805897. The reversal of 34362459805889 is 98850895426343.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20264627640625 + 14097832165264 = 4501625^2 + 3754708^2 .

It is a cyclic number.

It is not a de Polignac number, because 34362459805889 - 2¹² = 34362459801793 is a prime.

It is a super-2 number, since 2×34362459805889² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34362459807889) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17181229902944 + 17181229902945.

It is an arithmetic number, because the mean of its divisors is an integer number (17181229902945).

Almost surely, 2^{34362459805889} is an apocalyptic number.

It is an amenable number.

34362459805889 is a deficient number, since it is larger than the sum of its proper divisors (1).

34362459805889 is an equidigital number, since it uses as much as digits as its factorization.

34362459805889 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1791590400, while the sum is 74.

The spelling of 34362459805889 in words is "thirty-four trillion, three hundred sixty-two billion, four hundred fifty-nine million, eight hundred five thousand, eight hundred eighty-nine".