8564332014144 has 63 divisors (see below), whose sum is σ = 24548312700457. Its totient is φ = 2854753926144.

The previous prime is 8564332014137. The next prime is 8564332014157. The reversal of 8564332014144 is 4414102334658.

The square root of 8564332014144 is 2926488.

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

8564332014144 is a `hidden beast` number, since 8 + 5 + 6 + 433 + 201 + 4 + 1 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1171849550400 + 7392482463744 = 1082520^2 + 2718912^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8564332014144.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 70174744 + ... + 70296680.

Almost surely, 2^{8564332014144} is an apocalyptic number.

8564332014144 is the 2926488-th square number.

It is an amenable number.

8564332014144 is an abundant number, since it is smaller than the sum of its proper divisors (15983980686313).

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

8564332014144 is an frugal number, since it uses more digits than its factorization.

8564332014144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243892 (or 121942 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 8564332014144 in words is "eight trillion, five hundred sixty-four billion, three hundred thirty-two million, fourteen thousand, one hundred forty-four".