546285686427000 has 6144 divisors, whose sum is σ = 2373147279360000. Its totient is φ = 115550862336000.

The previous prime is 546285686426999. The next prime is 546285686427007. The reversal of 546285686427000 is 724686582645.

546285686427000 is a `hidden beast` number, since 5 + 4 + 6 + 2 + 8 + 568 + 64 + 2 + 7 + 0 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (546285686427007) by changing a digit.

It is a polite number, since it can be written in 1535 ways as a sum of consecutive naturals, for example, 3351445928919 + ... + 3351445929081.

It is an arithmetic number, because the mean of its divisors is an integer number (386254440000).

Almost surely, 2^{546285686427000} is an apocalyptic number.

546285686427000 is a gapful number since it is divisible by the number (50) 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 546285686427000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186573639680000).

546285686427000 is an abundant number, since it is smaller than the sum of its proper divisors (1826861592933000).

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

546285686427000 is a wasteful number, since it uses less digits than its factorization.

546285686427000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 63.

The spelling of 546285686427000 in words is "five hundred forty-six trillion, two hundred eighty-five billion, six hundred eighty-six million, four hundred twenty-seven thousand".