546598166688 has 384 divisors, whose sum is σ = 1897647575040. Its totient is φ = 149805573120.

The previous prime is 546598166683. The next prime is 546598166707. The reversal of 546598166688 is 886661895645.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (546598166683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15870895 + ... + 15905297.

It is an arithmetic number, because the mean of its divisors is an integer number (4941790560).

Almost surely, 2^546598166688 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 546598166688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948823787520).

546598166688 is an abundant number, since it is smaller than the sum of its proper divisors (1351049408352).

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

546598166688 is a wasteful number, since it uses less digits than its factorization.

546598166688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34537 (or 34523 counting only the distinct ones).

The product of its digits is 597196800, while the sum is 72.

The spelling of 546598166688 in words is "five hundred forty-six billion, five hundred ninety-eight million, one hundred sixty-six thousand, six hundred eighty-eight".