6411427058345 has 16 divisors (see below), whose sum is σ = 7709793613200. Its totient is φ = 5118432000000.

The previous prime is 6411427058341. The next prime is 6411427058389. The reversal of 6411427058345 is 5438507241146.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 346378154521 + 6065048903824 = 588539^2 + 2462732^2 .

It is not a de Polignac number, because 6411427058345 - 2² = 6411427058341 is a prime.

It is a super-2 number, since 2×6411427058345² (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 6411427058293 and 6411427058302.

It is not an unprimeable number, because it can be changed into a prime (6411427058341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3927095 + ... + 5314595.

It is an arithmetic number, because the mean of its divisors is an integer number (481862100825).

Almost surely, 2^{6411427058345} is an apocalyptic number.

It is an amenable number.

6411427058345 is a deficient number, since it is larger than the sum of its proper divisors (1298366554855).

6411427058345 is a wasteful number, since it uses less digits than its factorization.

6411427058345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389436.

The product of its (nonzero) digits is 3225600, while the sum is 50.

The spelling of 6411427058345 in words is "six trillion, four hundred eleven billion, four hundred twenty-seven million, fifty-eight thousand, three hundred forty-five".