546606221312 has 180 divisors, whose sum is σ = 1199718845325. Its totient is φ = 248928829440.

The previous prime is 546606221303. The next prime is 546606221323. The reversal of 546606221312 is 213122606645.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 500267631616 + 46338589696 = 707296^2 + 215264^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=522784.

It is a super-3 number, since 3×546606221312³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 17632458737 + ... + 17632458767.

Almost surely, 2^546606221312 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 546606221312

546606221312 is an abundant number, since it is smaller than the sum of its proper divisors (653112624013).

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

546606221312 is an frugal number, since it uses more digits than its factorization.

546606221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

Adding to 546606221312 its reverse (213122606645), we get a palindrome (759728827957).

The spelling of 546606221312 in words is "five hundred forty-six billion, six hundred six million, two hundred twenty-one thousand, three hundred twelve".