11220011184817 has 2 divisors, whose sum is σ = 11220011184818. Its totient is φ = 11220011184816.

The previous prime is 11220011184799. The next prime is 11220011184829. The reversal of 11220011184817 is 71848111002211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9407323242496 + 1812687942321 = 3067136^2 + 1346361^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11220011184817 is a prime.

It is not a weakly prime, because it can be changed into another prime (11220011181817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5610005592408 + 5610005592409.

It is an arithmetic number, because the mean of its divisors is an integer number (5610005592409).

Almost surely, 2^{11220011184817} is an apocalyptic number.

It is an amenable number.

11220011184817 is a deficient number, since it is larger than the sum of its proper divisors (1).

11220011184817 is an equidigital number, since it uses as much as digits as its factorization.

11220011184817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7168, while the sum is 37.

The spelling of 11220011184817 in words is "eleven trillion, two hundred twenty billion, eleven million, one hundred eighty-four thousand, eight hundred seventeen".