965383216641 has 12 divisors (see below), whose sum is σ = 1394490719700. Its totient is φ = 643566520800.

The previous prime is 965383216627. The next prime is 965383216687. The reversal of 965383216641 is 146612383569.

965383216641 is a `hidden beast` number, since 9 + 6 + 5 + 383 + 216 + 6 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 483969271041 + 481413945600 = 695679^2 + 693840^2 .

It is a de Polignac number, because none of the positive numbers 2^k-965383216641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (965383216621) 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 11 ways as a sum of consecutive naturals, for example, 1581066 + ... + 2104883.

It is an arithmetic number, because the mean of its divisors is an integer number (116207559975).

Almost surely, 2^965383216641 is an apocalyptic number.

It is an amenable number.

965383216641 is a deficient number, since it is larger than the sum of its proper divisors (429107503059).

965383216641 is a wasteful number, since it uses less digits than its factorization.

965383216641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3715056 (or 3715053 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 965383216641 in words is "nine hundred sixty-five billion, three hundred eighty-three million, two hundred sixteen thousand, six hundred forty-one".