6344120006856 has 48 divisors (see below), whose sum is σ = 17646369846300. Its totient is φ = 2057552433792.

The previous prime is 6344120006779. The next prime is 6344120006899. The reversal of 6344120006856 is 6586000214436.

6344120006856 is a `hidden beast` number, since 634 + 4 + 1 + 2 + 0 + 0 + 0 + 6 + 8 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4526298800100 + 1817821206756 = 2127510^2 + 1348266^2 .

It is a super-2 number, since 2×6344120006856² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1190710551 + ... + 1190715878.

Almost surely, 2^{6344120006856} is an apocalyptic number.

It is an amenable number.

6344120006856 is an abundant number, since it is smaller than the sum of its proper divisors (11302249839444).

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

6344120006856 is a wasteful number, since it uses less digits than its factorization.

6344120006856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2381426478 (or 2381426471 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 6344120006856 in words is "six trillion, three hundred forty-four billion, one hundred twenty million, six thousand, eight hundred fifty-six".