546706646607645 has 48 divisors (see below), whose sum is σ = 970741568854512. Its totient is φ = 284464100229120.

The previous prime is 546706646607631. The next prime is 546706646607713.

546706646607645 is a `hidden beast` number, since 5 + 4 + 6 + 7 + 0 + 6 + 6 + 4 + 6 + 607 + 6 + 4 + 5 = 666.

546706646607645 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 144599157953721 + 402107488653924 = 12024939^2 + 20052618^2 .

It is not a de Polignac number, because 546706646607645 - 2³¹ = 546704499123997 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 648016609 + ... + 648859721.

It is an arithmetic number, because the mean of its divisors is an integer number (20223782684469).

Almost surely, 2^{546706646607645} is an apocalyptic number.

It is an amenable number.

546706646607645 is a deficient number, since it is larger than the sum of its proper divisors (424034922246867).

546706646607645 is a wasteful number, since it uses less digits than its factorization.

546706646607645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194622 (or 1194619 counting only the distinct ones).

The product of its (nonzero) digits is 3657830400, while the sum is 72.

The spelling of 546706646607645 in words is "five hundred forty-six trillion, seven hundred six billion, six hundred forty-six million, six hundred seven thousand, six hundred forty-five".