3966905744593 has 8 divisors (see below), whose sum is σ = 4382312446080. Its totient is φ = 3560628860880.

The previous prime is 3966905744591. The next prime is 3966905744603. The reversal of 3966905744593 is 3954475096693.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3966905744593 - 2¹ = 3966905744591 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3966905744591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2282453530 + ... + 2282455267.

It is an arithmetic number, because the mean of its divisors is an integer number (547789055760).

Almost surely, 2^{3966905744593} is an apocalyptic number.

It is an amenable number.

3966905744593 is a deficient number, since it is larger than the sum of its proper divisors (415406701487).

3966905744593 is a wasteful number, since it uses less digits than its factorization.

3966905744593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4564908887.

The product of its (nonzero) digits is 661348800, while the sum is 70.

The spelling of 3966905744593 in words is "three trillion, nine hundred sixty-six billion, nine hundred five million, seven hundred forty-four thousand, five hundred ninety-three".