65945468510064 has 1920 divisors, whose sum is σ = 237064336244736. Its totient is φ = 17620347571200.

The previous prime is 65945468510063. The next prime is 65945468510099. The reversal of 65945468510064 is 46001586454956.

65945468510064 is a `hidden beast` number, since 6 + 5 + 9 + 4 + 5 + 468 + 5 + 100 + 64 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 65945468509983 and 65945468510010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65945468510063) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 214806086199 + ... + 214806086505.

Almost surely, 2^{65945468510064} 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 65945468510064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118532168122368).

65945468510064 is an abundant number, since it is smaller than the sum of its proper divisors (171118867734672).

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

65945468510064 is a wasteful number, since it uses less digits than its factorization.

65945468510064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 63.

The spelling of 65945468510064 in words is "sixty-five trillion, nine hundred forty-five billion, four hundred sixty-eight million, five hundred ten thousand, sixty-four".