65845336048128 has 960 divisors, whose sum is σ = 237822378393600. Its totient is φ = 17075515392000.

The previous prime is 65845336048111. The next prime is 65845336048133. The reversal of 65845336048128 is 82184063354856.

65845336048128 is a `hidden beast` number, since 6 + 5 + 8 + 4 + 5 + 3 + 3 + 604 + 8 + 12 + 8 = 666.

65845336048128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8314850953 + ... + 8314858871.

It is an arithmetic number, because the mean of its divisors is an integer number (247731644160).

Almost surely, 2^{65845336048128} 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 65845336048128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118911189196800).

65845336048128 is an abundant number, since it is smaller than the sum of its proper divisors (171977042345472).

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

65845336048128 is a wasteful number, since it uses less digits than its factorization.

65845336048128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8293 (or 8274 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 63.

The spelling of 65845336048128 in words is "sixty-five trillion, eight hundred forty-five billion, three hundred thirty-six million, forty-eight thousand, one hundred twenty-eight".