684382600311248 has 40 divisors (see below), whose sum is σ = 1327361724928008. Its totient is φ = 341837646036992.

The previous prime is 684382600311247. The next prime is 684382600311259. The reversal of 684382600311248 is 842113006283486.

It can be written as a sum of positive squares in 4 ways, for example, as 38839917980224 + 645542682331024 = 6232168^2 + 25407532^2 .

It is a super-3 number, since 3×684382600311248³ (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 684382600311193 and 684382600311202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684382600311247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2443970090 + ... + 2444250102.

Almost surely, 2^{684382600311248} is an apocalyptic number.

It is an amenable number.

684382600311248 is a deficient number, since it is larger than the sum of its proper divisors (642979124616760).

684382600311248 is a wasteful number, since it uses less digits than its factorization.

684382600311248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437351 (or 437345 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 56.

The spelling of 684382600311248 in words is "six hundred eighty-four trillion, three hundred eighty-two billion, six hundred million, three hundred eleven thousand, two hundred forty-eight".