6807144137344 has 16 divisors (see below), whose sum is σ = 13561107461370. Its totient is φ = 3403572068608.

The previous prime is 6807144137279. The next prime is 6807144137369. The reversal of 6807144137344 is 4437314417086.

It can be written as a sum of positive squares in only one way, i.e., 5966841914944 + 840302222400 = 2442712^2 + 916680^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×6807144137344² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6807144137291 and 6807144137300.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26590406659 + ... + 26590406914.

Almost surely, 2^{6807144137344} is an apocalyptic number.

6807144137344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6807144137344 is a deficient number, since it is larger than the sum of its proper divisors (6753963324026).

6807144137344 is an equidigital number, since it uses as much as digits as its factorization.

6807144137344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53180813587 (or 53180813575 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 52.

The spelling of 6807144137344 in words is "six trillion, eight hundred seven billion, one hundred forty-four million, one hundred thirty-seven thousand, three hundred forty-four".