648044320144 has 135 divisors (see below), whose sum is σ = 1381822991913. Its totient is φ = 294286626816.

The previous prime is 648044320141. The next prime is 648044320163. The reversal of 648044320144 is 441023440846.

The square root of 648044320144 is 805012.

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

It can be written as a sum of positive squares in 13 ways, for example, as 629578771600 + 18465548544 = 793460^2 + 135888^2 .

It is a super-2 number, since 2×648044320144² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 648044320097 and 648044320106.

It is not an unprimeable number, because it can be changed into a prime (648044320141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4730250444 + ... + 4730250580.

Almost surely, 2^648044320144 is an apocalyptic number.

648044320144 is the 805012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 648044320144

648044320144 is an abundant number, since it is smaller than the sum of its proper divisors (733778671769).

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

648044320144 is a wasteful number, since it uses less digits than its factorization.

648044320144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 40.

The spelling of 648044320144 in words is "six hundred forty-eight billion, forty-four million, three hundred twenty thousand, one hundred forty-four".