11834776509241 has 27 divisors (see below), whose sum is σ = 14624950083309. Its totient is φ = 9547052473728.

The previous prime is 11834776509191. The next prime is 11834776509251. The reversal of 11834776509241 is 14290567743811.

The square root of 11834776509241 is 3440171.

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

It can be written as a sum of positive squares in 4 ways, for example, as 8859165309225 + 2975611200016 = 2976435^2 + 1724996^2 .

It is not a de Polignac number, because 11834776509241 - 2⁷ = 11834776509113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11834776509251) 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, 409365895 + ... + 409394803.

It is a 1-persistent number, because it is pandigital, but 2⋅11834776509241 = 23669553018482 is not.

Almost surely, 2^{11834776509241} is an apocalyptic number.

11834776509241 is the 3440171-st square number.

11834776509241 is the 1720086-th centered octagonal number.

It is an amenable number.

11834776509241 is a deficient number, since it is larger than the sum of its proper divisors (2790173574068).

11834776509241 is an frugal number, since it uses more digits than its factorization.

11834776509241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57866 (or 28933 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 58.

The spelling of 11834776509241 in words is "eleven trillion, eight hundred thirty-four billion, seven hundred seventy-six million, five hundred nine thousand, two hundred forty-one".