65641166114656 has 48 divisors (see below), whose sum is σ = 149272224025680. Its totient is φ = 28081782292480.

The previous prime is 65641166114551. The next prime is 65641166114687.

It is a happy number.

65641166114656 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 65641166114656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5484717121 + ... + 5484729088.

It is an arithmetic number, because the mean of its divisors is an integer number (3109838000535).

Almost surely, 2^{65641166114656} is an apocalyptic number.

It is an amenable number.

65641166114656 is an abundant number, since it is smaller than the sum of its proper divisors (83631057911024).

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

65641166114656 is a wasteful number, since it uses less digits than its factorization.

65641166114656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10969446247 (or 10969446239 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 58.

The spelling of 65641166114656 in words is "sixty-five trillion, six hundred forty-one billion, one hundred sixty-six million, one hundred fourteen thousand, six hundred fifty-six".