6317434347136 has 96 divisors (see below), whose sum is σ = 13835317658400. Its totient is φ = 2871217789440.

The previous prime is 6317434347067. The next prime is 6317434347187.

6317434347136 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166058805 + ... + 166096843.

It is an arithmetic number, because the mean of its divisors is an integer number (144117892275).

Almost surely, 2^{6317434347136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6317434347136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6917658829200).

6317434347136 is an abundant number, since it is smaller than the sum of its proper divisors (7517883311264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6317434347136 is a wasteful number, since it uses less digits than its factorization.

6317434347136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48798 (or 48775 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 52.

The spelling of 6317434347136 in words is "six trillion, three hundred seventeen billion, four hundred thirty-four million, three hundred forty-seven thousand, one hundred thirty-six".