648322884225 has 135 divisors (see below), whose sum is σ = 1245776107147. Its totient is φ = 333307941120.

The previous prime is 648322884203. The next prime is 648322884229. The reversal of 648322884225 is 522488223846.

It is a happy number.

The square root of 648322884225 is 805185.

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

648322884225 is a `hidden beast` number, since 6 + 483 + 22 + 88 + 42 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 646469065089 + 1853819136 = 804033^2 + 43056^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 648322884225 - 2¹⁷ = 648322753153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (648322884229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1050766117 + ... + 1050766733.

Almost surely, 2^648322884225 is an apocalyptic number.

648322884225 is the 805185-th square number.

648322884225 is the 402593-rd centered octagonal number.

It is an amenable number.

648322884225 is a deficient number, since it is larger than the sum of its proper divisors (597453222922).

648322884225 is an frugal number, since it uses more digits than its factorization.

648322884225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 654 counting only the distinct ones).

The product of its digits is 11796480, while the sum is 54.

The spelling of 648322884225 in words is "six hundred forty-eight billion, three hundred twenty-two million, eight hundred eighty-four thousand, two hundred twenty-five".