13823293484961 has 9 divisors (see below), whose sum is σ = 19966995589489. Its totient is φ = 9215521554036.

The previous prime is 13823293484881. The next prime is 13823293484981. The reversal of 13823293484961 is 16948439232831.

The square root of 13823293484961 is 3717969.

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

13823293484961 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 3 + 2 + 93 + 484 + 9 + 61 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 13823293484961 - 2²⁷ = 13823159267233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13823293484981) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10534246 + ... + 11773568.

Almost surely, 2^{13823293484961} is an apocalyptic number.

13823293484961 is the 3717969-th square number.

13823293484961 is the 1858985-th centered octagonal number.

It is an amenable number.

13823293484961 is a deficient number, since it is larger than the sum of its proper divisors (6143702104528).

13823293484961 is an frugal number, since it uses more digits than its factorization.

13823293484961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2478652 (or 1239326 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 63.

The spelling of 13823293484961 in words is "thirteen trillion, eight hundred twenty-three billion, two hundred ninety-three million, four hundred eighty-four thousand, nine hundred sixty-one".