34412243324013 has 20 divisors (see below), whose sum is σ = 51455707596348. Its totient is φ = 22919286882240.

The previous prime is 34412243324009. The next prime is 34412243324057. The reversal of 34412243324013 is 31042334221443.

34412243324013 is a `hidden beast` number, since 3 + 4 + 4 + 1 + 2 + 243 + 3 + 2 + 401 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23770568507049 + 10641674816964 = 4875507^2 + 3262158^2 .

It is not a de Polignac number, because 34412243324013 - 2² = 34412243324009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34412243324413) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 205551618 + ... + 205718963.

Almost surely, 2^{34412243324013} is an apocalyptic number.

It is an amenable number.

34412243324013 is a deficient number, since it is larger than the sum of its proper divisors (17043464272335).

34412243324013 is a wasteful number, since it uses less digits than its factorization.

34412243324013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411271626 (or 411271617 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 34412243324013 its reverse (31042334221443), we get a palindrome (65454577545456).

The spelling of 34412243324013 in words is "thirty-four trillion, four hundred twelve billion, two hundred forty-three million, three hundred twenty-four thousand, thirteen".