868534530304 has 243 divisors, whose sum is σ = 2068670639007. Its totient is φ = 362879741952.

The previous prime is 868534530289. The next prime is 868534530323. The reversal of 868534530304 is 403035435868.

The square root of 868534530304 is 931952.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 208744704 + 868325785600 = 14448^2 + 931840^2 .

It is a super-5 number, since 5×868534530304⁵ (a number of 61 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5532066994 + ... + 5532067150.

Almost surely, 2^868534530304 is an apocalyptic number.

868534530304 is the 931952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 868534530304

868534530304 is an abundant number, since it is smaller than the sum of its proper divisors (1200136108703).

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

868534530304 is an frugal number, since it uses more digits than its factorization.

868534530304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 49.

Multiplying 868534530304 by its sum of digits (49), we get a square (42558191984896 = 6523664²).

868534530304 divided by its sum of digits (49) gives a square (17725194496 = 133136²).

The spelling of 868534530304 in words is "eight hundred sixty-eight billion, five hundred thirty-four million, five hundred thirty thousand, three hundred four".