65365116996864 has 288 divisors, whose sum is σ = 181409401958400. Its totient is φ = 20868926955520.

The previous prime is 65365116996821. The next prime is 65365116996869. The reversal of 65365116996864 is 46869961156356.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65365116996869) 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 31 ways as a sum of consecutive naturals, for example, 1399927759 + ... + 1399974449.

It is an arithmetic number, because the mean of its divisors is an integer number (629893756800).

Almost surely, 2^{65365116996864} is an apocalyptic number.

65365116996864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65365116996864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90704700979200).

65365116996864 is an abundant number, since it is smaller than the sum of its proper divisors (116044284961536).

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

65365116996864 is a wasteful number, since it uses less digits than its factorization.

65365116996864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47241 (or 47227 counting only the distinct ones).

The product of its digits is 1511654400, while the sum is 75.

The spelling of 65365116996864 in words is "sixty-five trillion, three hundred sixty-five billion, one hundred sixteen million, nine hundred ninety-six thousand, eight hundred sixty-four".