546616166400 has 864 divisors, whose sum is σ = 2062907028000. Its totient is φ = 141865943040.

The previous prime is 546616166359. The next prime is 546616166413. The reversal of 546616166400 is 4661616645.

It is a happy number.

546616166400 is a `hidden beast` number, since 546 + 6 + 1 + 6 + 1 + 66 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 3053721511 + ... + 3053721689.

It is an arithmetic number, because the mean of its divisors is an integer number (2387623875).

Almost surely, 2^546616166400 is an apocalyptic number.

546616166400 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 546616166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031453514000).

546616166400 is an abundant number, since it is smaller than the sum of its proper divisors (1516290861600).

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

546616166400 is a wasteful number, since it uses less digits than its factorization.

546616166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 546616166400 in words is "five hundred forty-six billion, six hundred sixteen million, one hundred sixty-six thousand, four hundred".