65664433446656 has 144 divisors (see below), whose sum is σ = 146236508974080. Its totient is φ = 29171173232640.

The previous prime is 65664433446653. The next prime is 65664433446659.

65664433446656 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (65664433446653) and next prime (65664433446659).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65664433446653) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93487685 + ... + 94187451.

It is an arithmetic number, because the mean of its divisors is an integer number (1015531312320).

Almost surely, 2^{65664433446656} 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 65664433446656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73118254487040).

65664433446656 is an abundant number, since it is smaller than the sum of its proper divisors (80572075527424).

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

65664433446656 is a wasteful number, since it uses less digits than its factorization.

65664433446656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700550 (or 700536 counting only the distinct ones).

The product of its digits is 2687385600, while the sum is 68.

The spelling of 65664433446656 in words is "sixty-five trillion, six hundred sixty-four billion, four hundred thirty-three million, four hundred forty-six thousand, six hundred fifty-six".