6881458450464 has 432 divisors, whose sum is σ = 21681620480520. Its totient is φ = 2068614512640.

The previous prime is 6881458450459. The next prime is 6881458450481. The reversal of 6881458450464 is 4640548541886.

It is a happy number.

6881458450464 is a `hidden beast` number, since 6 + 8 + 8 + 1 + 4 + 584 + 5 + 0 + 46 + 4 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 846810000 + 6880611640464 = 29100^2 + 2623092^2 .

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 621681922 + ... + 621692990.

Almost surely, 2^{6881458450464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6881458450464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10840810240260).

6881458450464 is an abundant number, since it is smaller than the sum of its proper divisors (14800162030056).

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

6881458450464 is a wasteful number, since it uses less digits than its factorization.

6881458450464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11405 (or 11381 counting only the distinct ones).

The product of its (nonzero) digits is 117964800, while the sum is 63.

The spelling of 6881458450464 in words is "six trillion, eight hundred eighty-one billion, four hundred fifty-eight million, four hundred fifty thousand, four hundred sixty-four".