65241433414256 has 80 divisors (see below), whose sum is σ = 139018009325568. Its totient is φ = 29414167372800.

The previous prime is 65241433414237. The next prime is 65241433414259.

65241433414256 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65241433414259) 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, 87494456 + ... + 88236968.

Almost surely, 2^{65241433414256} 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 65241433414256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69509004662784).

65241433414256 is an abundant number, since it is smaller than the sum of its proper divisors (73776575911312).

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

65241433414256 is a wasteful number, since it uses less digits than its factorization.

65241433414256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746590 (or 746584 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 50.

It can be divided in two parts, 6524143 and 3414256, that added together give a palindrome (9938399).

The spelling of 65241433414256 in words is "sixty-five trillion, two hundred forty-one billion, four hundred thirty-three million, four hundred fourteen thousand, two hundred fifty-six".