4634931046321 has 9 divisors (see below), whose sum is σ = 4653591491649. Its totient is φ = 4616345155584.

The previous prime is 4634931046313. The next prime is 4634931046367. The reversal of 4634931046321 is 1236401394364.

The square root of 4634931046321 is 2152889.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 315350756721 + 4319580289600 = 561561^2 + 2078360^2 .

It is not a de Polignac number, because 4634931046321 - 2³ = 4634931046313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4634931046621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 553288285 + ... + 553296661.

Almost surely, 2^{4634931046321} is an apocalyptic number.

4634931046321 is the 2152889-th square number.

4634931046321 is the 1076445-th centered octagonal number.

It is an amenable number.

4634931046321 is a deficient number, since it is larger than the sum of its proper divisors (18660445328).

4634931046321 is an frugal number, since it uses more digits than its factorization.

4634931046321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17268 (or 8634 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 46.

The spelling of 4634931046321 in words is "four trillion, six hundred thirty-four billion, nine hundred thirty-one million, forty-six thousand, three hundred twenty-one".