6541146306363 has 32 divisors (see below), whose sum is σ = 9247046814720. Its totient is φ = 4098700569600.

The previous prime is 6541146306287. The next prime is 6541146306371. The reversal of 6541146306363 is 3636036411456.

It is a happy number.

It is not a de Polignac number, because 6541146306363 - 2⁹ = 6541146305851 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6541146306463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321279978 + ... + 321300336.

It is an arithmetic number, because the mean of its divisors is an integer number (288970212960).

Almost surely, 2^{6541146306363} is an apocalyptic number.

6541146306363 is a deficient number, since it is larger than the sum of its proper divisors (2705900508357).

6541146306363 is a wasteful number, since it uses less digits than its factorization.

6541146306363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28587.

The product of its (nonzero) digits is 2799360, while the sum is 48.

The spelling of 6541146306363 in words is "six trillion, five hundred forty-one billion, one hundred forty-six million, three hundred six thousand, three hundred sixty-three".