6856233270481 has 9 divisors (see below), whose sum is σ = 7975639615881. Its totient is φ = 5876755664052.

The previous prime is 6856233270461. The next prime is 6856233270499. The reversal of 6856233270481 is 1840723326586.

The square root of 6856233270481 is 2618441.

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

It is not a de Polignac number, because 6856233270481 - 2³⁹ = 6306477456593 is a prime.

It is a super-2 number, since 2×6856233270481² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6856233270431) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 18142056 + ... + 18516118.

Almost surely, 2^{6856233270481} is an apocalyptic number.

6856233270481 is the 2618441-st square number.

6856233270481 is the 1309221-st centered octagonal number.

It is an amenable number.

6856233270481 is a deficient number, since it is larger than the sum of its proper divisors (1119406345400).

6856233270481 is an frugal number, since it uses more digits than its factorization.

6856233270481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748140 (or 374070 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 55.

The spelling of 6856233270481 in words is "six trillion, eight hundred fifty-six billion, two hundred thirty-three million, two hundred seventy thousand, four hundred eighty-one".