6144242424416 has 96 divisors (see below), whose sum is σ = 12390956218368. Its totient is φ = 2998232455680.

The previous prime is 6144242424413. The next prime is 6144242424451.

6144242424416 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6144242424413) 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, 916637321 + ... + 916644023.

It is an arithmetic number, because the mean of its divisors is an integer number (129072460608).

Almost surely, 2^{6144242424416} is an apocalyptic number.

It is an amenable number.

6144242424416 is an abundant number, since it is smaller than the sum of its proper divisors (6246713793952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6144242424416 is a wasteful number, since it uses less digits than its factorization.

6144242424416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10804 (or 10796 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 44.

The spelling of 6144242424416 in words is "six trillion, one hundred forty-four billion, two hundred forty-two million, four hundred twenty-four thousand, four hundred sixteen".