546821041536 has 768 divisors, whose sum is σ = 2104890278400. Its totient is φ = 137116385280.

The previous prime is 546821041519. The next prime is 546821041549. The reversal of 546821041536 is 635140128645.

546821041536 is a `hidden beast` number, since 5 + 4 + 6 + 8 + 2 + 104 + 1 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 546821041491 and 546821041500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69451296 + ... + 69459168.

It is an arithmetic number, because the mean of its divisors is an integer number (2740742550).

Almost surely, 2^546821041536 is an apocalyptic number.

546821041536 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 546821041536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052445139200).

546821041536 is an abundant number, since it is smaller than the sum of its proper divisors (1558069236864).

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

546821041536 is a wasteful number, since it uses less digits than its factorization.

546821041536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7949 (or 7925 counting only the distinct ones).

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

The spelling of 546821041536 in words is "five hundred forty-six billion, eight hundred twenty-one million, forty-one thousand, five hundred thirty-six".