11565348417361 has 16 divisors (see below), whose sum is σ = 11906978907600. Its totient is φ = 11225280734208.

The previous prime is 11565348417349. The next prime is 11565348417391. The reversal of 11565348417361 is 16371484356511.

It can be written as a sum of positive squares in 8 ways, for example, as 5315648413761 + 6249700003600 = 2305569^2 + 2499940^2 .

It is a cyclic number.

It is not a de Polignac number, because 11565348417361 - 2⁹ = 11565348416849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11565348417391) 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 in 15 ways as a sum of consecutive naturals, for example, 24581421 + ... + 25047493.

It is an arithmetic number, because the mean of its divisors is an integer number (744186181725).

Almost surely, 2^{11565348417361} is an apocalyptic number.

It is an amenable number.

11565348417361 is a deficient number, since it is larger than the sum of its proper divisors (341630490239).

11565348417361 is an equidigital number, since it uses as much as digits as its factorization.

11565348417361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467748.

The product of its digits is 7257600, while the sum is 55.

The spelling of 11565348417361 in words is "eleven trillion, five hundred sixty-five billion, three hundred forty-eight million, four hundred seventeen thousand, three hundred sixty-one".