34342415023249 has 2 divisors, whose sum is σ = 34342415023250. Its totient is φ = 34342415023248.

The previous prime is 34342415023207. The next prime is 34342415023289. The reversal of 34342415023249 is 94232051424343.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18061650010000 + 16280765013249 = 4249900^2 + 4034943^2 .

It is a cyclic number.

It is not a de Polignac number, because 34342415023249 - 2¹³ = 34342415015057 is a prime.

It is a super-2 number, since 2×34342415023249² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34342415023199 and 34342415023208.

It is not a weakly prime, because it can be changed into another prime (34342415023289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17171207511624 + 17171207511625.

It is an arithmetic number, because the mean of its divisors is an integer number (17171207511625).

Almost surely, 2^{34342415023249} is an apocalyptic number.

It is an amenable number.

34342415023249 is a deficient number, since it is larger than the sum of its proper divisors (1).

34342415023249 is an equidigital number, since it uses as much as digits as its factorization.

34342415023249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2488320, while the sum is 46.

The spelling of 34342415023249 in words is "thirty-four trillion, three hundred forty-two billion, four hundred fifteen million, twenty-three thousand, two hundred forty-nine".