4511847540321 has 81 divisors (see below), whose sum is σ = 7222571429619. Its totient is φ = 2712064924800.

The previous prime is 4511847540293. The next prime is 4511847540359. The reversal of 4511847540321 is 1230457481154.

The square root of 4511847540321 is 2124111.

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

4511847540321 is a `hidden beast` number, since 4 + 5 + 1 + 1 + 84 + 7 + 540 + 3 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1216664150625 + 3295183389696 = 1103025^2 + 1815264^2 .

It is not a de Polignac number, because 4511847540321 - 2⁵ = 4511847540289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4511847540371) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 13388271465 + ... + 13388271801.

Almost surely, 2^{4511847540321} is an apocalyptic number.

4511847540321 is the 2124111-st square number.

4511847540321 is the 1062056-th centered octagonal number.

It is an amenable number.

4511847540321 is a deficient number, since it is larger than the sum of its proper divisors (2710723889298).

4511847540321 is an equidigital number, since it uses as much as digits as its factorization.

4511847540321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 4511847540321 in words is "four trillion, five hundred eleven billion, eight hundred forty-seven million, five hundred forty thousand, three hundred twenty-one".