65918634912 has 144 divisors (see below), whose sum is σ = 202835007648. Its totient is φ = 20186288640.

The previous prime is 65918634911. The next prime is 65918634917. The reversal of 65918634912 is 21943681956.

65918634912 is a `hidden beast` number, since 6 + 5 + 91 + 8 + 63 + 491 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (65918634911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 748263 + ... + 831705.

It is an arithmetic number, because the mean of its divisors is an integer number (1408576442).

Almost surely, 2^65918634912 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 65918634912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101417503824).

65918634912 is an abundant number, since it is smaller than the sum of its proper divisors (136916372736).

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

65918634912 is a wasteful number, since it uses less digits than its factorization.

65918634912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83683 (or 83672 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 65918634912 in words is "sixty-five billion, nine hundred eighteen million, six hundred thirty-four thousand, nine hundred twelve".