546005105856 has 504 divisors, whose sum is σ = 1894298624400. Its totient is φ = 155478693888.

The previous prime is 546005105843. The next prime is 546005105857. The reversal of 546005105856 is 658501500645.

546005105856 is a `hidden beast` number, since 5 + 4 + 60 + 0 + 5 + 1 + 0 + 585 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (546005105857) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 265953726 + ... + 265955778.

Almost surely, 2^546005105856 is an apocalyptic number.

546005105856 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 546005105856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947149312200).

546005105856 is an abundant number, since it is smaller than the sum of its proper divisors (1348293518544).

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

546005105856 is a wasteful number, since it uses less digits than its factorization.

546005105856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2443 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 546005105856 in words is "five hundred forty-six billion, five million, one hundred five thousand, eight hundred fifty-six".