11237104048041 has 27 divisors (see below), whose sum is σ = 17242585379461. Its totient is φ = 7050624681984.

The previous prime is 11237104047971. The next prime is 11237104048061. The reversal of 11237104048041 is 14084040173211.

The square root of 11237104048041 is 3352179.

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

11237104048041 is a `hidden beast` number, since 1 + 1 + 2 + 37 + 104 + 0 + 480 + 41 = 666.

11237104048041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3253676402025 + 7983427646016 = 1803795^2 + 2825496^2 .

It is not a de Polignac number, because 11237104048041 - 2⁹ = 11237104047529 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11237104047987 and 11237104048005.

It is not an unprimeable number, because it can be changed into a prime (11237104048061) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 170928265 + ... + 170993993.

Almost surely, 2^{11237104048041} is an apocalyptic number.

11237104048041 is the 3352179-th square number.

11237104048041 is the 1676090-th centered octagonal number.

It is an amenable number.

11237104048041 is a deficient number, since it is larger than the sum of its proper divisors (6005481331420).

11237104048041 is an frugal number, since it uses more digits than its factorization.

11237104048041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131498 (or 65749 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Multiplying 11237104048041 by its sum of digits (36), we get a square (404535745729476 = 20113074²).

The spelling of 11237104048041 in words is "eleven trillion, two hundred thirty-seven billion, one hundred four million, forty-eight thousand, forty-one".