65641433414656 has 176 divisors, whose sum is σ = 143599377553632. Its totient is φ = 29743010611200.

The previous prime is 65641433414629. The next prime is 65641433414659.

65641433414656 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (176).

It is a self number, because there is not a number n which added to its sum of digits gives 65641433414656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65641433414659) 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, 5800244710 + ... + 5800256026.

It is an arithmetic number, because the mean of its divisors is an integer number (815905554282).

Almost surely, 2^{65641433414656} 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 65641433414656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71799688776816).

65641433414656 is an abundant number, since it is smaller than the sum of its proper divisors (77957944138976).

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

65641433414656 is a wasteful number, since it uses less digits than its factorization.

65641433414656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12926 (or 12908 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 58.

It can be divided in two parts, 6564143 and 3414656, that added together give a palindrome (9978799).

The spelling of 65641433414656 in words is "sixty-five trillion, six hundred forty-one billion, four hundred thirty-three million, four hundred fourteen thousand, six hundred fifty-six".