65344344344356 has 144 divisors (see below), whose sum is σ = 153667717539840. Its totient is φ = 23974469709120.

The previous prime is 65344344344353. The next prime is 65344344344369.

65344344344356 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 65344344344356.

It is not an unprimeable number, because it can be changed into a prime (65344344344353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2065045 + ... + 11616931.

It is an arithmetic number, because the mean of its divisors is an integer number (1067136927360).

Almost surely, 2^{65344344344356} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65344344344356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76833858769920).

65344344344356 is an abundant number, since it is smaller than the sum of its proper divisors (88323373195484).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

65344344344356 is a wasteful number, since it uses less digits than its factorization.

65344344344356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9552102 (or 9552093 counting only the distinct ones).

The product of its digits is 298598400, while the sum is 58.

The spelling of 65344344344356 in words is "sixty-five trillion, three hundred forty-four billion, three hundred forty-four million, three hundred forty-four thousand, three hundred fifty-six".