864870240256 has 117 divisors (see below), whose sum is σ = 1902493091289. Its totient is φ = 392825241600.

The previous prime is 864870240197. The next prime is 864870240271. The reversal of 864870240256 is 652042078468.

The square root of 864870240256 is 929984.

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

It can be written as a sum of positive squares in only one way, i.e., 800638406656 + 64231833600 = 894784^2 + 253440^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 654708076 + ... + 654709396.

Almost surely, 2^864870240256 is an apocalyptic number.

864870240256 is the 929984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 864870240256

864870240256 is an abundant number, since it is smaller than the sum of its proper divisors (1037622851033).

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

864870240256 is an frugal number, since it uses more digits than its factorization.

864870240256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 52.

The spelling of 864870240256 in words is "eight hundred sixty-four billion, eight hundred seventy million, two hundred forty thousand, two hundred fifty-six".