65417248512 has 648 divisors, whose sum is σ = 248346588672. Its totient is φ = 16982784000.

The previous prime is 65417248489. The next prime is 65417248537. The reversal of 65417248512 is 21584271456.

65417248512 is a `hidden beast` number, since 6 + 541 + 7 + 24 + 85 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33529137 + ... + 33531087.

Almost surely, 2^65417248512 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 65417248512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124173294336).

65417248512 is an abundant number, since it is smaller than the sum of its proper divisors (182929340160).

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

65417248512 is a wasteful number, since it uses less digits than its factorization.

65417248512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007 (or 1974 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The spelling of 65417248512 in words is "sixty-five billion, four hundred seventeen million, two hundred forty-eight thousand, five hundred twelve".