11493910331289 has 81 divisors (see below), whose sum is σ = 17124871165311. Its totient is φ = 7428753050400.

The previous prime is 11493910331261. The next prime is 11493910331317. The reversal of 11493910331289 is 98213301939411.

The square root of 11493910331289 is 3390267.

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

11493910331289 is a `hidden beast` number, since 1 + 14 + 9 + 3 + 9 + 10 + 331 + 289 = 666.

11493910331289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11493910331261) and next prime (11493910331317).

It can be written as a sum of positive squares in only one way, i.e., 11043212935689 + 450697395600 = 3323133^2 + 671340^2 .

It is not a de Polignac number, because 11493910331289 - 2⁷ = 11493910331161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11493910331489) 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, 68825810284 + ... + 68825810450.

Almost surely, 2^{11493910331289} is an apocalyptic number.

11493910331289 is the 3390267-th square number.

11493910331289 is the 1695134-th centered octagonal number.

It is an amenable number.

11493910331289 is a deficient number, since it is larger than the sum of its proper divisors (5630960834022).

11493910331289 is an frugal number, since it uses more digits than its factorization.

11493910331289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 11493910331289 in words is "eleven trillion, four hundred ninety-three billion, nine hundred ten million, three hundred thirty-one thousand, two hundred eighty-nine".