65834342683648 has 1408 divisors, whose sum is σ = 184218209280000. Its totient is φ = 23233238138880.

The previous prime is 65834342683639. The next prime is 65834342683673. The reversal of 65834342683648 is 84638624343856.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 152042361640 + ... + 152042362072.

Almost surely, 2^{65834342683648} 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 65834342683648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92109104640000).

65834342683648 is an abundant number, since it is smaller than the sum of its proper divisors (118383866596352).

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

65834342683648 is a wasteful number, since it uses less digits than its factorization.

65834342683648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 564 counting only the distinct ones).

The product of its digits is 1911029760, while the sum is 70.

The spelling of 65834342683648 in words is "sixty-five trillion, eight hundred thirty-four billion, three hundred forty-two million, six hundred eighty-three thousand, six hundred forty-eight".