7431681184321 has 9 divisors (see below), whose sum is σ = 7462094491299. Its totient is φ = 7401391365000.

The previous prime is 7431681184283. The next prime is 7431681184339. The reversal of 7431681184321 is 1234811861347.

The square root of 7431681184321 is 2726111.

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

It can be written as a sum of positive squares in only one way, i.e., 2922598812721 + 4509082371600 = 1709561^2 + 2123460^2 .

It is not a de Polignac number, because 7431681184321 - 2¹¹ = 7431681182273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7431681184381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 684248431 + ... + 684259291.

Almost surely, 2^{7431681184321} is an apocalyptic number.

7431681184321 is the 2726111-st square number.

7431681184321 is the 1363056-th centered octagonal number.

It is an amenable number.

7431681184321 is a deficient number, since it is larger than the sum of its proper divisors (30413306978).

7431681184321 is an frugal number, since it uses more digits than its factorization.

7431681184321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22224 (or 11112 counting only the distinct ones).

The product of its digits is 774144, while the sum is 49.

Multiplying 7431681184321 by its sum of digits (49), we get a square (364152378031729 = 19082777²).

The spelling of 7431681184321 in words is "seven trillion, four hundred thirty-one billion, six hundred eighty-one million, one hundred eighty-four thousand, three hundred twenty-one".