864000000000468 has 144 divisors (see below), whose sum is σ = 2320445540584080. Its totient is φ = 270545105037312.

The previous prime is 864000000000443. The next prime is 864000000000517.

864000000000468 is a `hidden beast` number, since 8 + 640 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 4 + 6 + 8 = 666.

864000000000468 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 222284304276804 + 641715695723664 = 14909202^2 + 25332108^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1293433696 + ... + 1294101512.

It is an arithmetic number, because the mean of its divisors is an integer number (16114205142945).

Almost surely, 2^{864000000000468} 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 864000000000468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160222770292040).

864000000000468 is an abundant number, since it is smaller than the sum of its proper divisors (1456445540583612).

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

864000000000468 is a wasteful number, since it uses less digits than its factorization.

864000000000468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701386 (or 701381 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

It can be divided in two parts, 864000000000 and 468, that added together give a palindrome (864000000468).

The spelling of 864000000000468 in words is "eight hundred sixty-four trillion, four hundred sixty-eight", and thus it is an aban number.