864534435468 has 96 divisors (see below), whose sum is σ = 2297274739200. Its totient is φ = 250484720640.

The previous prime is 864534435439. The next prime is 864534435473.

864534435468 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7340308 + ... + 7457156.

It is an arithmetic number, because the mean of its divisors is an integer number (23929945200).

Almost surely, 2^864534435468 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 864534435468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148637369600).

864534435468 is an abundant number, since it is smaller than the sum of its proper divisors (1432740303732).

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

864534435468 is a wasteful number, since it uses less digits than its factorization.

864534435468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119327 (or 119325 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 60.

The spelling of 864534435468 in words is "eight hundred sixty-four billion, five hundred thirty-four million, four hundred thirty-five thousand, four hundred sixty-eight".