31946633664913 has 32 divisors (see below), whose sum is σ = 35238540765312. Its totient is φ = 28720058304000.

The previous prime is 31946633664899. The next prime is 31946633664929.

It is a happy number.

31946633664913 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-31946633664913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31946634664913) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3819992670 + ... + 3820001032.

It is an arithmetic number, because the mean of its divisors is an integer number (1101204398916).

Almost surely, 2^{31946633664913} is an apocalyptic number.

It is an amenable number.

31946633664913 is a deficient number, since it is larger than the sum of its proper divisors (3291907100399).

31946633664913 is a wasteful number, since it uses less digits than its factorization.

31946633664913 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12225.

The product of its digits is 136048896, while the sum is 64.

The spelling of 31946633664913 in words is "thirty-one trillion, nine hundred forty-six billion, six hundred thirty-three million, six hundred sixty-four thousand, nine hundred thirteen".