542013345203616 has 576 divisors, whose sum is σ = 1834837135971840. Its totient is φ = 149613984000000.

The previous prime is 542013345203597. The next prime is 542013345203641. The reversal of 542013345203616 is 616302543310245.

542013345203616 is a `hidden beast` number, since 5 + 4 + 2 + 0 + 1 + 3 + 3 + 4 + 5 + 20 + 3 + 616 = 666.

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, 965442991 + ... + 966004241.

It is an arithmetic number, because the mean of its divisors is an integer number (3185481138840).

Almost surely, 2^{542013345203616} 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 542013345203616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917418567985920).

542013345203616 is an abundant number, since it is smaller than the sum of its proper divisors (1292823790768224).

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

542013345203616 is a wasteful number, since it uses less digits than its factorization.

542013345203616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561601 (or 561590 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 542013345203616 in words is "five hundred forty-two trillion, thirteen billion, three hundred forty-five million, two hundred three thousand, six hundred sixteen".