6142742472416 has 24 divisors (see below), whose sum is σ = 13192935538104. Its totient is φ = 2792155669120.

The previous prime is 6142742472407. The next prime is 6142742472421.

6142742472416 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8725486115 + ... + 8725486818.

It is an arithmetic number, because the mean of its divisors is an integer number (549705647421).

Almost surely, 2^{6142742472416} is an apocalyptic number.

It is an amenable number.

6142742472416 is an abundant number, since it is smaller than the sum of its proper divisors (7050193065688).

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

6142742472416 is a wasteful number, since it uses less digits than its factorization.

6142742472416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17450972954 (or 17450972946 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 50.

The spelling of 6142742472416 in words is "six trillion, one hundred forty-two billion, seven hundred forty-two million, four hundred seventy-two thousand, four hundred sixteen".