7135438345317 has 64 divisors (see below), whose sum is σ = 10746079027200. Its totient is φ = 4678878297600.

The previous prime is 7135438345291. The next prime is 7135438345319.

7135438345317 is a `hidden beast` number, since 7 + 1 + 3 + 543 + 8 + 34 + 53 + 17 = 666.

7135438345317 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 7135438345317 - 2¹¹ = 7135438343269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7135438345319) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 531813993 + ... + 531827409.

It is an arithmetic number, because the mean of its divisors is an integer number (167907484800).

Almost surely, 2^{7135438345317} is an apocalyptic number.

It is an amenable number.

7135438345317 is a deficient number, since it is larger than the sum of its proper divisors (3610640681883).

7135438345317 is a wasteful number, since it uses less digits than its factorization.

7135438345317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14843 (or 14837 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 54.

The spelling of 7135438345317 in words is "seven trillion, one hundred thirty-five billion, four hundred thirty-eight million, three hundred forty-five thousand, three hundred seventeen".