6486679234816 has 243 divisors, whose sum is σ = 14769404559273. Its totient is φ = 2841113425920.

The previous prime is 6486679234753. The next prime is 6486679234829. The reversal of 6486679234816 is 6184329766846.

The square root of 6486679234816 is 2546896.

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., 3401457244416 + 3085221990400 = 1844304^2 + 1756480^2 .

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 12999356935 + ... + 12999357433.

Almost surely, 2^{6486679234816} is an apocalyptic number.

6486679234816 is the 2546896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6486679234816

6486679234816 is an abundant number, since it is smaller than the sum of its proper divisors (8282725324457).

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

6486679234816 is an frugal number, since it uses more digits than its factorization.

6486679234816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 541 counting only the distinct ones).

The product of its digits is 501645312, while the sum is 70.

The spelling of 6486679234816 in words is "six trillion, four hundred eighty-six billion, six hundred seventy-nine million, two hundred thirty-four thousand, eight hundred sixteen".