65318294016 has 120 divisors (see below), whose sum is σ = 188768399820. Its totient is φ = 21743271936.

The previous prime is 65318293991. The next prime is 65318294051. The reversal of 65318294016 is 61049281356.

65318294016 is a `hidden beast` number, since 65 + 3 + 182 + 9 + 401 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 65282294016 + 36000000 = 255504^2 + 6000^2 .

It is a super-3 number, since 3×65318294016³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3534336 + ... + 3552768.

Almost surely, 2^65318294016 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 65318294016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94384199910).

65318294016 is an abundant number, since it is smaller than the sum of its proper divisors (123450105804).

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

65318294016 is a wasteful number, since it uses less digits than its factorization.

65318294016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19226 (or 19207 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 65318294016 in words is "sixty-five billion, three hundred eighteen million, two hundred ninety-four thousand, sixteen".