3144048404413 has 32 divisors (see below), whose sum is σ = 3869794206720. Its totient is φ = 2492904180480.

The previous prime is 3144048404309. The next prime is 3144048404449.

3144048404413 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-3144048404413 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144048444413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38792670 + ... + 38873632.

It is an arithmetic number, because the mean of its divisors is an integer number (120931068960).

Almost surely, 2^{3144048404413} is an apocalyptic number.

It is an amenable number.

3144048404413 is a deficient number, since it is larger than the sum of its proper divisors (725745802307).

3144048404413 is a wasteful number, since it uses less digits than its factorization.

3144048404413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86577.

The product of its (nonzero) digits is 294912, while the sum is 40.

The spelling of 3144048404413 in words is "three trillion, one hundred forty-four billion, forty-eight million, four hundred four thousand, four hundred thirteen".