6884373668481 has 81 divisors (see below), whose sum is σ = 10424854997193. Its totient is φ = 4377772840320.

The previous prime is 6884373668467. The next prime is 6884373668537. The reversal of 6884373668481 is 1848663734886.

It is a happy number.

The square root of 6884373668481 is 2623809.

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

6884373668481 is a `hidden beast` number, since 6 + 8 + 8 + 437 + 36 + 6 + 84 + 81 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4078360055025 + 2806013613456 = 2019495^2 + 1675116^2 .

It is not a de Polignac number, because 6884373668481 - 2¹³ = 6884373660289 is a prime.

It is a super-2 number, since 2×6884373668481² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6884373668401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 21717266935 + ... + 21717267251.

Almost surely, 2^{6884373668481} is an apocalyptic number.

6884373668481 is the 2623809-th square number.

6884373668481 is the 1311905-th centered octagonal number.

It is an amenable number.

6884373668481 is a deficient number, since it is larger than the sum of its proper divisors (3540481328712).

6884373668481 is an frugal number, since it uses more digits than its factorization.

6884373668481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 440 counting only the distinct ones).

The product of its digits is 891813888, while the sum is 72.

The spelling of 6884373668481 in words is "six trillion, eight hundred eighty-four billion, three hundred seventy-three million, six hundred sixty-eight thousand, four hundred eighty-one".