65316386016 has 288 divisors, whose sum is σ = 221168683008. Its totient is φ = 18574686720.

The previous prime is 65316385999. The next prime is 65316386081. The reversal of 65316386016 is 61068361356.

65316386016 is a `hidden beast` number, since 6 + 5 + 3 + 1 + 6 + 38 + 601 + 6 = 666.

65316386016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×65316386016² (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 47 ways as a sum of consecutive naturals, for example, 12135646 + ... + 12141026.

It is an arithmetic number, because the mean of its divisors is an integer number (767946816).

Almost surely, 2^65316386016 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 65316386016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110584341504).

65316386016 is an abundant number, since it is smaller than the sum of its proper divisors (155852296992).

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

65316386016 is a wasteful number, since it uses less digits than its factorization.

65316386016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5636 (or 5616 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 65316386016 in words is "sixty-five billion, three hundred sixteen million, three hundred eighty-six thousand, sixteen".