34785149254769 has 2 divisors, whose sum is σ = 34785149254770. Its totient is φ = 34785149254768.

The previous prime is 34785149254741. The next prime is 34785149254841. The reversal of 34785149254769 is 96745294158743.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24744774745744 + 10040374509025 = 4974412^2 + 3168655^2 .

It is an emirp because it is prime and its reverse (96745294158743) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34785149254769 - 2²⁸ = 34784880819313 is a prime.

It is a super-2 number, since 2×34785149254769² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34785149254696 and 34785149254705.

It is not a weakly prime, because it can be changed into another prime (34785149254969) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17392574627384 + 17392574627385.

It is an arithmetic number, because the mean of its divisors is an integer number (17392574627385).

Almost surely, 2^{34785149254769} is an apocalyptic number.

It is an amenable number.

34785149254769 is a deficient number, since it is larger than the sum of its proper divisors (1).

34785149254769 is an equidigital number, since it uses as much as digits as its factorization.

34785149254769 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1828915200, while the sum is 74.

The spelling of 34785149254769 in words is "thirty-four trillion, seven hundred eighty-five billion, one hundred forty-nine million, two hundred fifty-four thousand, seven hundred sixty-nine".