65253618144 has 672 divisors, whose sum is σ = 233957541888. Its totient is φ = 17635968000.

The previous prime is 65253618139. The next prime is 65253618197. The reversal of 65253618144 is 44181635256.

65253618144 is a `hidden beast` number, since 6 + 5 + 25 + 3 + 618 + 1 + 4 + 4 = 666.

65253618144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 65253618144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 103412709 + ... + 103413339.

It is an arithmetic number, because the mean of its divisors is an integer number (348151104).

Almost surely, 2^65253618144 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 65253618144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116978770944).

65253618144 is an abundant number, since it is smaller than the sum of its proper divisors (168703923744).

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

65253618144 is a wasteful number, since it uses less digits than its factorization.

65253618144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 691 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 65253618144 in words is "sixty-five billion, two hundred fifty-three million, six hundred eighteen thousand, one hundred forty-four".