865464464568 has 128 divisors (see below), whose sum is σ = 2411161758720. Its totient is φ = 256619765760.

The previous prime is 865464464563. The next prime is 865464464591.

It is a happy number.

865464464568 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 865464464499 and 865464464508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (865464464563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89245896 + ... + 89255592.

It is an arithmetic number, because the mean of its divisors is an integer number (18837201240).

Almost surely, 2^865464464568 is an apocalyptic number.

865464464568 is a gapful number since it is divisible by the number (88) 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 865464464568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205580879360).

865464464568 is an abundant number, since it is smaller than the sum of its proper divisors (1545697294152).

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

865464464568 is a wasteful number, since it uses less digits than its factorization.

865464464568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16957 (or 16953 counting only the distinct ones).

The product of its digits is 530841600, while the sum is 66.

The spelling of 865464464568 in words is "eight hundred sixty-five billion, four hundred sixty-four million, four hundred sixty-four thousand, five hundred sixty-eight".