11605116221 has 8 divisors (see below), whose sum is σ = 11825703864. Its totient is φ = 11384588800.

The previous prime is 11605116217. The next prime is 11605116223. The reversal of 11605116221 is 12261150611.

11605116221 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 592922500 + 11012193721 = 24350^2 + 104939^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11605116221 - 2² = 11605116217 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11605116223) 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 7 ways as a sum of consecutive naturals, for example, 648425 + ... + 666081.

It is an arithmetic number, because the mean of its divisors is an integer number (1478212983).

Almost surely, 2^11605116221 is an apocalyptic number.

It is an amenable number.

11605116221 is a deficient number, since it is larger than the sum of its proper divisors (220587643).

11605116221 is a wasteful number, since it uses less digits than its factorization.

11605116221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30111.

The product of its (nonzero) digits is 720, while the sum is 26.

Adding to 11605116221 its reverse (12261150611), we get a palindrome (23866266832).

The spelling of 11605116221 in words is "eleven billion, six hundred five million, one hundred sixteen thousand, two hundred twenty-one".