516241366445016 has 384 divisors, whose sum is σ = 1515548035422720. Its totient is φ = 158142391160832.

The previous prime is 516241366444967. The next prime is 516241366445017. The reversal of 516241366445016 is 610544663142615.

516241366445016 is a `hidden beast` number, since 5 + 1 + 6 + 2 + 41 + 36 + 64 + 4 + 501 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516241366445017) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53646609181 + ... + 53646618803.

It is an arithmetic number, because the mean of its divisors is an integer number (3946739675580).

Almost surely, 2^{516241366445016} 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 516241366445016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757774017711360).

516241366445016 is an abundant number, since it is smaller than the sum of its proper divisors (999306668977704).

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

516241366445016 is a wasteful number, since it uses less digits than its factorization.

516241366445016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13575 (or 13568 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 516241366445016 in words is "five hundred sixteen trillion, two hundred forty-one billion, three hundred sixty-six million, four hundred forty-five thousand, sixteen".