34407805256849 has 2 divisors, whose sum is σ = 34407805256850. Its totient is φ = 34407805256848.

The previous prime is 34407805256833. The next prime is 34407805256939. The reversal of 34407805256849 is 94865250870443.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34407785614225 + 19642624 = 5865815^2 + 4432^2 .

It is a cyclic number.

It is not a de Polignac number, because 34407805256849 - 2⁴ = 34407805256833 is a prime.

It is a super-2 number, since 2×34407805256849² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34407805216849) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17203902628424 + 17203902628425.

It is an arithmetic number, because the mean of its divisors is an integer number (17203902628425).

Almost surely, 2^{34407805256849} is an apocalyptic number.

It is an amenable number.

34407805256849 is a deficient number, since it is larger than the sum of its proper divisors (1).

34407805256849 is an equidigital number, since it uses as much as digits as its factorization.

34407805256849 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 232243200, while the sum is 65.

The spelling of 34407805256849 in words is "thirty-four trillion, four hundred seven billion, eight hundred five million, two hundred fifty-six thousand, eight hundred forty-nine".