3966448446693 has 12 divisors (see below), whose sum is σ = 5978415050400. Its totient is φ = 2529329444136.

The previous prime is 3966448446673. The next prime is 3966448446743.

3966448446693 is a `hidden beast` number, since 3 + 96 + 6 + 4 + 4 + 8 + 446 + 6 + 93 = 666.

3966448446693 is nontrivially palindromic in base 10.

3966448446693 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 3966448446693 - 2⁶ = 3966448446629 is a prime.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3966448446673) 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 11 ways as a sum of consecutive naturals, for example, 9580793143 + ... + 9580793556.

It is an arithmetic number, because the mean of its divisors is an integer number (498201254200).

Almost surely, 2^{3966448446693} is an apocalyptic number.

It is an amenable number.

3966448446693 is a deficient number, since it is larger than the sum of its proper divisors (2011966603707).

3966448446693 is a wasteful number, since it uses less digits than its factorization.

3966448446693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19161586728 (or 19161586725 counting only the distinct ones).

The product of its digits is 1934917632, while the sum is 72.

The spelling of 3966448446693 in words is "three trillion, nine hundred sixty-six billion, four hundred forty-eight million, four hundred forty-six thousand, six hundred ninety-three".