65308409712 has 360 divisors, whose sum is σ = 236873276640. Its totient is φ = 16629580800.

The previous prime is 65308409707. The next prime is 65308409723. The reversal of 65308409712 is 21790480356.

65308409712 is a `hidden beast` number, since 6 + 530 + 8 + 40 + 9 + 71 + 2 = 666.

It is a super-2 number, since 2×65308409712² (a number of 22 digits) contains 22 as substring.

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, 2647837 + ... + 2672387.

It is an arithmetic number, because the mean of its divisors is an integer number (657981324).

It is a 1-persistent number, because it is pandigital, but 2⋅65308409712 = 130616819424 is not.

Almost surely, 2^65308409712 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 65308409712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118436638320).

65308409712 is an abundant number, since it is smaller than the sum of its proper divisors (171564866928).

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

65308409712 is a wasteful number, since it uses less digits than its factorization.

65308409712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24621 (or 24605 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 65308409712 in words is "sixty-five billion, three hundred eight million, four hundred nine thousand, seven hundred twelve".