630416944144 has 45 divisors (see below), whose sum is σ = 1322703240663. Its totient is φ = 290942610816.

The previous prime is 630416944133. The next prime is 630416944187. The reversal of 630416944144 is 441449614036.

The square root of 630416944144 is 793988.

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 113582480400 + 516834463744 = 337020^2 + 718912^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 630416944094 and 630416944103.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 41279742 + ... + 41295010.

Almost surely, 2^630416944144 is an apocalyptic number.

630416944144 is the 793988-th square number.

It is an amenable number.

630416944144 is an abundant number, since it is smaller than the sum of its proper divisors (692286296519).

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

630416944144 is an frugal number, since it uses more digits than its factorization.

630416944144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30572 (or 15284 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 46.

The spelling of 630416944144 in words is "six hundred thirty billion, four hundred sixteen million, nine hundred forty-four thousand, one hundred forty-four".