384106842241 has 16 divisors (see below), whose sum is σ = 389319210000. Its totient is φ = 378921811968.

The previous prime is 384106842239. The next prime is 384106842277. The reversal of 384106842241 is 142248601483.

It can be written as a sum of positive squares in 8 ways, for example, as 3985270641 + 380121571600 = 63129^2 + 616540^2 .

It is a cyclic number.

It is not a de Polignac number, because 384106842241 - 2¹ = 384106842239 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (384106842221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50212785 + ... + 50220433.

It is an arithmetic number, because the mean of its divisors is an integer number (24332450625).

Almost surely, 2^384106842241 is an apocalyptic number.

It is an amenable number.

384106842241 is a deficient number, since it is larger than the sum of its proper divisors (5212367759).

384106842241 is a wasteful number, since it uses less digits than its factorization.

384106842241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9348.

The product of its (nonzero) digits is 294912, while the sum is 43.

The spelling of 384106842241 in words is "three hundred eighty-four billion, one hundred six million, eight hundred forty-two thousand, two hundred forty-one".