11149306536241 has 2 divisors, whose sum is σ = 11149306536242. Its totient is φ = 11149306536240.

The previous prime is 11149306536229. The next prime is 11149306536259. The reversal of 11149306536241 is 14263560394111.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10212274792225 + 937031744016 = 3195665^2 + 968004^2 .

It is a cyclic number.

It is not a de Polignac number, because 11149306536241 - 2¹⁵ = 11149306503473 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11149306536191 and 11149306536200.

It is not a weakly prime, because it can be changed into another prime (11149306531241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5574653268120 + 5574653268121.

It is an arithmetic number, because the mean of its divisors is an integer number (5574653268121).

Almost surely, 2^{11149306536241} is an apocalyptic number.

It is an amenable number.

11149306536241 is a deficient number, since it is larger than the sum of its proper divisors (1).

11149306536241 is an equidigital number, since it uses as much as digits as its factorization.

11149306536241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 466560, while the sum is 46.

The spelling of 11149306536241 in words is "eleven trillion, one hundred forty-nine billion, three hundred six million, five hundred thirty-six thousand, two hundred forty-one".