65264838912 has 972 divisors, whose sum is σ = 248802484476. Its totient is φ = 16930529280.

The previous prime is 65264838883. The next prime is 65264838913. The reversal of 65264838912 is 21983846256.

65264838912 is a `hidden beast` number, since 65 + 26 + 483 + 89 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5267275776 + 59997563136 = 72576^2 + 244944^2 .

It is a tau number, because it is divible by the number of its divisors (972).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (4976640) is a multiple of the sum of its prime factors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65264838913) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1069915362 + ... + 1069915422.

Almost surely, 2^65264838912 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 65264838912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124401242238).

65264838912 is an abundant number, since it is smaller than the sum of its proper divisors (183537645564).

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

65264838912 is an frugal number, since it uses more digits than its factorization.

65264838912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 86 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 65264838912 in words is "sixty-five billion, two hundred sixty-four million, eight hundred thirty-eight thousand, nine hundred twelve".