542014212665016 has 576 divisors, whose sum is σ = 1845142774020000. Its totient is φ = 142470287769600.

The previous prime is 542014212664927. The next prime is 542014212665033. The reversal of 542014212665016 is 610566212410245.

542014212665016 is a `hidden beast` number, since 5 + 4 + 2 + 0 + 14 + 2 + 126 + 6 + 501 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17416333936 + ... + 17416365056.

Almost surely, 2^{542014212665016} is an apocalyptic number.

542014212665016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542014212665016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922571387010000).

542014212665016 is an abundant number, since it is smaller than the sum of its proper divisors (1303128561354984).

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

542014212665016 is a wasteful number, since it uses less digits than its factorization.

542014212665016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32420 (or 32406 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 542014212665016 in words is "five hundred forty-two trillion, fourteen billion, two hundred twelve million, six hundred sixty-five thousand, sixteen".