11833305961 has 9 divisors (see below), whose sum is σ = 11918876229. Its totient is φ = 11748348000.

The previous prime is 11833305941. The next prime is 11833305973. The reversal of 11833305961 is 16950333811.

It is a happy number.

The square root of 11833305961 is 108781.

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

11833305961 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 1071318361 + 10761987600 = 32731^2 + 103740^2 .

It is not a de Polignac number, because 11833305961 - 2¹³ = 11833297769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11833305901) 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 8 ways as a sum of consecutive naturals, for example, 19689061 + ... + 19689661.

It is an arithmetic number, because the mean of its divisors is an integer number (1324319581).

Almost surely, 2^11833305961 is an apocalyptic number.

11833305961 is the 108781-st square number.

11833305961 is the 54391-st centered octagonal number.

It is an amenable number.

11833305961 is a deficient number, since it is larger than the sum of its proper divisors (85570268).

11833305961 is an frugal number, since it uses more digits than its factorization.

11833305961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The spelling of 11833305961 in words is "eleven billion, eight hundred thirty-three million, three hundred five thousand, nine hundred sixty-one".