6886344256 has 189 divisors, whose sum is σ = 16094065729. Its totient is φ = 2921036800.

The previous prime is 6886344253. The next prime is 6886344271. The reversal of 6886344256 is 6524436886.

The square root of 6886344256 is 82984.

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

It can be written as a sum of positive squares in only one way, i.e., 331822656 + 6554521600 = 18216^2 + 80960^2 .

It is a Duffinian number.

Its product of digits (6635520) is a multiple of the sum of its prime factors (162).

It is not an unprimeable number, because it can be changed into a prime (6886344251) 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, 167959596 + ... + 167959636.

Almost surely, 2^6886344256 is an apocalyptic number.

6886344256 is the 82984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6886344256

6886344256 is an abundant number, since it is smaller than the sum of its proper divisors (9207721473).

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

6886344256 is a wasteful number, since it uses less digits than its factorization.

6886344256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 77 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 52.

The cubic root of 6886344256 is about 1902.5215142358.

The spelling of 6886344256 in words is "six billion, eight hundred eighty-six million, three hundred forty-four thousand, two hundred fifty-six".