6313440174336 has 135 divisors (see below), whose sum is σ = 18826615188381. Its totient is φ = 2104359450624.

The previous prime is 6313440174317. The next prime is 6313440174367. The reversal of 6313440174336 is 6334710443136.

The square root of 6313440174336 is 2512656.

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

6313440174336 is a `hidden beast` number, since 6 + 3 + 1 + 3 + 440 + 174 + 3 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6277309767936 + 36130406400 = 2505456^2 + 190080^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6313440174291 and 6313440174300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 361813740 + ... + 361831188.

Almost surely, 2^{6313440174336} is an apocalyptic number.

6313440174336 is the 2512656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6313440174336

6313440174336 is an abundant number, since it is smaller than the sum of its proper divisors (12513175014045).

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

6313440174336 is an frugal number, since it uses more digits than its factorization.

6313440174336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34926 (or 17454 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

The spelling of 6313440174336 in words is "six trillion, three hundred thirteen billion, four hundred forty million, one hundred seventy-four thousand, three hundred thirty-six".