71135344353117 has 48 divisors (see below), whose sum is σ = 105202257983424. Its totient is φ = 42720156864000.

The previous prime is 71135344353071. The next prime is 71135344353127.

71135344353117 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 71135344353117 - 2¹² = 71135344349021 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71135344353127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165953923 + ... + 166382015.

It is an arithmetic number, because the mean of its divisors is an integer number (2191713707988).

Almost surely, 2^{71135344353117} is an apocalyptic number.

It is an amenable number.

71135344353117 is a deficient number, since it is larger than the sum of its proper divisors (34066913630307).

71135344353117 is a wasteful number, since it uses less digits than its factorization.

71135344353117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432282 (or 432271 counting only the distinct ones).

The product of its digits is 1587600, while the sum is 48.

The spelling of 71135344353117 in words is "seventy-one trillion, one hundred thirty-five billion, three hundred forty-four million, three hundred fifty-three thousand, one hundred seventeen".