1165605713441 has 8 divisors (see below), whose sum is σ = 1263263029224. Its totient is φ = 1069090588800.

The previous prime is 1165605713423. The next prime is 1165605713471. The reversal of 1165605713441 is 1443175065611.

It can be written as a sum of positive squares in 4 ways, for example, as 221412597025 + 944193116416 = 470545^2 + 971696^2 .

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

It is not a de Polignac number, because 1165605713441 - 2¹⁴ = 1165605697057 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1165605713392 and 1165605713401.

It is not an unprimeable number, because it can be changed into a prime (1165605713471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 285545660 + ... + 285549741.

It is an arithmetic number, because the mean of its divisors is an integer number (157907878653).

Almost surely, 2^{1165605713441} is an apocalyptic number.

It is an amenable number.

1165605713441 is a deficient number, since it is larger than the sum of its proper divisors (97657315783).

1165605713441 is a wasteful number, since it uses less digits than its factorization.

1165605713441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571095571.

The product of its (nonzero) digits is 302400, while the sum is 44.

The spelling of 1165605713441 in words is "one trillion, one hundred sixty-five billion, six hundred five million, seven hundred thirteen thousand, four hundred forty-one".