11616093081121 has 9 divisors (see below), whose sum is σ = 12259712288883. Its totient is φ = 11004658412760.

The previous prime is 11616093081113. The next prime is 11616093081149. The reversal of 11616093081121 is 12118039061611.

It is a happy number.

The square root of 11616093081121 is 3408239.

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

It can be written as a sum of positive squares in only one way, i.e., 8693292536721 + 2922800544400 = 2948439^2 + 1709620^2 .

It is not a de Polignac number, because 11616093081121 - 2³ = 11616093081113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11616093081181) 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, 64666851 + ... + 64846231.

Almost surely, 2^{11616093081121} is an apocalyptic number.

11616093081121 is the 3408239-th square number.

11616093081121 is the 1704120-th centered octagonal number.

It is an amenable number.

11616093081121 is a deficient number, since it is larger than the sum of its proper divisors (643619207762).

11616093081121 is an frugal number, since it uses more digits than its factorization.

11616093081121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358800 (or 179400 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 40.

The spelling of 11616093081121 in words is "eleven trillion, six hundred sixteen billion, ninety-three million, eighty-one thousand, one hundred twenty-one".