3166631006337 has 12 divisors (see below), whose sum is σ = 4574075045904. Its totient is φ = 2111063115480.

The previous prime is 3166631006321. The next prime is 3166631006389. The reversal of 3166631006337 is 7336001366613.

3166631006337 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3166631006337 - 2⁴ = 3166631006321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3166631006292 and 3166631006301.

It is not an unprimeable number, because it can be changed into a prime (3166631006237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1171839 + ... + 2776052.

It is an arithmetic number, because the mean of its divisors is an integer number (381172920492).

Almost surely, 2^{3166631006337} is an apocalyptic number.

It is an amenable number.

3166631006337 is a deficient number, since it is larger than the sum of its proper divisors (1407444039567).

3166631006337 is a wasteful number, since it uses less digits than its factorization.

3166631006337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4037020 (or 4037017 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 45.

The spelling of 3166631006337 in words is "three trillion, one hundred sixty-six billion, six hundred thirty-one million, six thousand, three hundred thirty-seven".