13461494958081 has 27 divisors (see below), whose sum is σ = 20655737477193. Its totient is φ = 8446310801280.

The previous prime is 13461494958053. The next prime is 13461494958091. The reversal of 13461494958081 is 18085949416431.

The square root of 13461494958081 is 3668991.

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

13461494958081 is a `hidden beast` number, since 1 + 3 + 4 + 6 + 1 + 4 + 9 + 49 + 580 + 8 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 66509831025 + 13394985127056 = 257895^2 + 3659916^2 .

It is not a de Polignac number, because 13461494958081 - 2²³ = 13461486569473 is a prime.

It is a super-2 number, since 2×13461494958081² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13461494958011) 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 26 ways as a sum of consecutive naturals, for example, 187082571 + ... + 187154511.

Almost surely, 2^{13461494958081} is an apocalyptic number.

13461494958081 is the 3668991-st square number.

13461494958081 is the 1834496-th centered octagonal number.

It is an amenable number.

13461494958081 is a deficient number, since it is larger than the sum of its proper divisors (7194242519112).

13461494958081 is an frugal number, since it uses more digits than its factorization.

13461494958081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143922 (or 71961 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 13461494958081 in words is "thirteen trillion, four hundred sixty-one billion, four hundred ninety-four million, nine hundred fifty-eight thousand, eighty-one".