16431120292048 has 480 divisors, whose sum is σ = 41550340608000. Its totient is φ = 6222309488640.

The previous prime is 16431120292021. The next prime is 16431120292117. The reversal of 16431120292048 is 84029202113461.

16431120292048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 16431120291995 and 16431120292013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20310407868 + ... + 20310408676.

It is an arithmetic number, because the mean of its divisors is an integer number (86563209600).

Almost surely, 2^{16431120292048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16431120292048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20775170304000).

16431120292048 is an abundant number, since it is smaller than the sum of its proper divisors (25119220315952).

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

16431120292048 is a wasteful number, since it uses less digits than its factorization.

16431120292048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The spelling of 16431120292048 in words is "sixteen trillion, four hundred thirty-one billion, one hundred twenty million, two hundred ninety-two thousand, forty-eight".