65244555544256 has 224 divisors, whose sum is σ = 147723479447040. Its totient is φ = 28301259571200.

The previous prime is 65244555544253. The next prime is 65244555544307.

65244555544256 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (65244555544253) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24263500160 + ... + 24263502848.

It is an arithmetic number, because the mean of its divisors is an integer number (659479818960).

Almost surely, 2^{65244555544256} 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 65244555544256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73861739723520).

65244555544256 is an abundant number, since it is smaller than the sum of its proper divisors (82478923902784).

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

65244555544256 is a wasteful number, since it uses less digits than its factorization.

65244555544256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5663 (or 5653 counting only the distinct ones).

The product of its digits is 576000000, while the sum is 62.

The spelling of 65244555544256 in words is "sixty-five trillion, two hundred forty-four billion, five hundred fifty-five million, five hundred forty-four thousand, two hundred fifty-six".