11472766321 has 9 divisors (see below), whose sum is σ = 11995845771. Its totient is φ = 10971593952.

The previous prime is 11472766313. The next prime is 11472766337. The reversal of 11472766321 is 12366727411.

The square root of 11472766321 is 107111.

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

11472766321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1379751025 + 10093015296 = 37145^2 + 100464^2 .

It is not a de Polignac number, because 11472766321 - 2³ = 11472766313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11472766351) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 2461225 + ... + 2465881.

Almost surely, 2^11472766321 is an apocalyptic number.

11472766321 is the 107111-st square number.

11472766321 is the 53556-th centered octagonal number.

It is an amenable number.

11472766321 is a deficient number, since it is larger than the sum of its proper divisors (523079450).

11472766321 is an frugal number, since it uses more digits than its factorization.

11472766321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9360 (or 4680 counting only the distinct ones).

The product of its digits is 84672, while the sum is 40.

The spelling of 11472766321 in words is "eleven billion, four hundred seventy-two million, seven hundred sixty-six thousand, three hundred twenty-one".