6855683408896 has 99 divisors (see below), whose sum is σ = 15943533231069. Its totient is φ = 2937898672128.

The previous prime is 6855683408869. The next prime is 6855683409037. The reversal of 6855683408896 is 6988043865586.

The square root of 6855683408896 is 2618336.

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., 6797158122496 + 58525286400 = 2607136^2 + 241920^2 .

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, 586501420 + ... + 586513108.

Almost surely, 2^{6855683408896} is an apocalyptic number.

6855683408896 is the 2618336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6855683408896

6855683408896 is an abundant number, since it is smaller than the sum of its proper divisors (9087849822173).

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

6855683408896 is an frugal number, since it uses more digits than its factorization.

6855683408896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23412 (or 11698 counting only the distinct ones).

The product of its (nonzero) digits is 2388787200, while the sum is 76.

The spelling of 6855683408896 in words is "six trillion, eight hundred fifty-five billion, six hundred eighty-three million, four hundred eight thousand, eight hundred ninety-six".