6931344431396 has 108 divisors (see below), whose sum is σ = 15763858228188. Its totient is φ = 2656252368000.

The previous prime is 6931344431393. The next prime is 6931344431413.

It is a happy number.

6931344431396 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 537121888996 + 6394222542400 = 732886^2 + 2528680^2 .

It is not an unprimeable number, because it can be changed into a prime (6931344431393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 948935 + ... + 3842286.

It is an arithmetic number, because the mean of its divisors is an integer number (145961650261).

Almost surely, 2^{6931344431396} is an apocalyptic number.

It is an amenable number.

6931344431396 is an abundant number, since it is smaller than the sum of its proper divisors (8832513796792).

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

6931344431396 is a wasteful number, since it uses less digits than its factorization.

6931344431396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4791322 (or 4791302 counting only the distinct ones).

The product of its digits is 15116544, while the sum is 56.

The spelling of 6931344431396 in words is "six trillion, nine hundred thirty-one billion, three hundred forty-four million, four hundred thirty-one thousand, three hundred ninety-six".