65608344112896 has 576 divisors, whose sum is σ = 224616278476800. Its totient is φ = 18717768105984.

The previous prime is 65608344112889. The next prime is 65608344112931. The reversal of 65608344112896 is 69821144380656.

65608344112896 is a `hidden beast` number, since 6 + 5 + 6 + 0 + 8 + 344 + 1 + 1 + 289 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79832590 + ... + 80650226.

It is an arithmetic number, because the mean of its divisors is an integer number (389958816800).

Almost surely, 2^{65608344112896} 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 65608344112896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112308139238400).

65608344112896 is an abundant number, since it is smaller than the sum of its proper divisors (159007934363904).

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

65608344112896 is a wasteful number, since it uses less digits than its factorization.

65608344112896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817741 (or 817721 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 65608344112896 in words is "sixty-five trillion, six hundred eight billion, three hundred forty-four million, one hundred twelve thousand, eight hundred ninety-six".