3966319968033 has 16 divisors (see below), whose sum is σ = 5348014632000. Its totient is φ = 2614490164800.

The previous prime is 3966319968029. The next prime is 3966319968041. The reversal of 3966319968033 is 3308699136693.

It is not a de Polignac number, because 3966319968033 - 2² = 3966319968029 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3966319948033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8632758 + ... + 9080591.

It is an arithmetic number, because the mean of its divisors is an integer number (334250914500).

Almost surely, 2^{3966319968033} is an apocalyptic number.

It is an amenable number.

3966319968033 is a deficient number, since it is larger than the sum of its proper divisors (1381694663967).

3966319968033 is a wasteful number, since it uses less digits than its factorization.

3966319968033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17714192.

The product of its (nonzero) digits is 102036672, while the sum is 66.

The spelling of 3966319968033 in words is "three trillion, nine hundred sixty-six billion, three hundred nineteen million, nine hundred sixty-eight thousand, thirty-three".