11331497680441 has 9 divisors (see below), whose sum is σ = 11445144948013. Its totient is φ = 11218968011200.

The previous prime is 11331497680429. The next prime is 11331497680457. The reversal of 11331497680441 is 14408679413311.

The square root of 11331497680441 is 3366229.

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 5760859232041 + 5570638448400 = 2400179^2 + 2360220^2 .

It is not a de Polignac number, because 11331497680441 - 2⁷ = 11331497680313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11331497620441) 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, 339972465 + ... + 340005793.

Almost surely, 2^{11331497680441} is an apocalyptic number.

11331497680441 is the 3366229-th square number.

11331497680441 is the 1683115-th centered octagonal number.

It is an amenable number.

11331497680441 is a deficient number, since it is larger than the sum of its proper divisors (113647267572).

11331497680441 is an frugal number, since it uses more digits than its factorization.

11331497680441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66860 (or 33430 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 52.

The spelling of 11331497680441 in words is "eleven trillion, three hundred thirty-one billion, four hundred ninety-seven million, six hundred eighty thousand, four hundred forty-one".