546461306000 has 80 divisors (see below), whose sum is σ = 1324199555328. Its totient is φ = 218112048000.

The previous prime is 546461305997. The next prime is 546461306057. The reversal of 546461306000 is 603164645.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 630935 + ... + 1221065.

Almost surely, 2^546461306000 is an apocalyptic number.

546461306000 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 546461306000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662099777664).

546461306000 is an abundant number, since it is smaller than the sum of its proper divisors (777738249328).

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

546461306000 is a wasteful number, since it uses less digits than its factorization.

546461306000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590617 (or 590601 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The spelling of 546461306000 in words is "five hundred forty-six billion, four hundred sixty-one million, three hundred six thousand".