6438946850064 has 135 divisors (see below), whose sum is σ = 18205627087557. Its totient is φ = 2124442297728.

The previous prime is 6438946850057. The next prime is 6438946850069. The reversal of 6438946850064 is 4600586498346.

The square root of 6438946850064 is 2537508.

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

6438946850064 is a `hidden beast` number, since 6 + 4 + 3 + 8 + 9 + 4 + 68 + 500 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3323693610000 + 3115253240064 = 1823100^2 + 1765008^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6438946849983 and 6438946850010.

It is not an unprimeable number, because it can be changed into a prime (6438946850069) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3136358862 + ... + 3136360914.

Almost surely, 2^{6438946850064} is an apocalyptic number.

6438946850064 is the 2537508-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6438946850064

6438946850064 is an abundant number, since it is smaller than the sum of its proper divisors (11766680237493).

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

6438946850064 is an equidigital number, since it uses as much as digits as its factorization.

6438946850064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4326 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 6438946850064 in words is "six trillion, four hundred thirty-eight billion, nine hundred forty-six million, eight hundred fifty thousand, sixty-four".