39384444448393 has 12 divisors (see below), whose sum is σ = 43311142704564. Its totient is φ = 35786834969600.

The previous prime is 39384444448291. The next prime is 39384444448417.

39384444448393 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 13480742021769 + 25903702426624 = 3671613^2 + 5089568^2 .

It is a de Polignac number, because none of the positive numbers 2^k-39384444448393 is a prime.

It is a super-2 number, since 2×39384444448393² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (39384444448793) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77953696 + ... + 78457297.

It is an arithmetic number, because the mean of its divisors is an integer number (3609261892047).

Almost surely, 2^{39384444448393} is an apocalyptic number.

It is an amenable number.

39384444448393 is a deficient number, since it is larger than the sum of its proper divisors (3926698256171).

39384444448393 is a wasteful number, since it uses less digits than its factorization.

39384444448393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156413096 (or 156413085 counting only the distinct ones).

The product of its digits is 1719926784, while the sum is 70.

The spelling of 39384444448393 in words is "thirty-nine trillion, three hundred eighty-four billion, four hundred forty-four million, four hundred forty-eight thousand, three hundred ninety-three".