6816861471744 has 99 divisors (see below), whose sum is σ = 19684263330277. Its totient is φ = 2272203608064.

The previous prime is 6816861471731. The next prime is 6816861471799. The reversal of 6816861471744 is 4471741686186.

The square root of 6816861471744 is 2610912.

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

6816861471744 is a `hidden beast` number, since 6 + 8 + 1 + 6 + 8 + 614 + 7 + 1 + 7 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3773539353600 + 3043322118144 = 1942560^2 + 1744512^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 250633954 + ... + 250661150.

Almost surely, 2^{6816861471744} is an apocalyptic number.

6816861471744 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6816861471744 is the 2610912-nd square number.

It is an amenable number.

6816861471744 is an abundant number, since it is smaller than the sum of its proper divisors (12867401858533).

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

6816861471744 is an frugal number, since it uses more digits than its factorization.

6816861471744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54420 (or 27202 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 63.

The spelling of 6816861471744 in words is "six trillion, eight hundred sixteen billion, eight hundred sixty-one million, four hundred seventy-one thousand, seven hundred forty-four".