864134431468 has 96 divisors (see below), whose sum is σ = 1949422422528. Its totient is φ = 325393881600.

The previous prime is 864134431411. The next prime is 864134431483.

864134431468 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, 1031430 + ... + 1670962.

It is an arithmetic number, because the mean of its divisors is an integer number (20306483568).

Almost surely, 2^864134431468 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 864134431468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974711211264).

864134431468 is an abundant number, since it is smaller than the sum of its proper divisors (1085287991060).

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

864134431468 is a wasteful number, since it uses less digits than its factorization.

864134431468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639703 (or 639701 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 52.

The spelling of 864134431468 in words is "eight hundred sixty-four billion, one hundred thirty-four million, four hundred thirty-one thousand, four hundred sixty-eight".