6006144301311 has 64 divisors (see below), whose sum is σ = 10077281280000. Its totient is φ = 3091079222400.

The previous prime is 6006144301279. The next prime is 6006144301321. The reversal of 6006144301311 is 1131034416006.

It is not a de Polignac number, because 6006144301311 - 2⁵ = 6006144301279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6006144301321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17960665 + ... + 18292013.

It is an arithmetic number, because the mean of its divisors is an integer number (157457520000).

Almost surely, 2^{6006144301311} is an apocalyptic number.

6006144301311 is a deficient number, since it is larger than the sum of its proper divisors (4071136978689).

6006144301311 is a wasteful number, since it uses less digits than its factorization.

6006144301311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332100.

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 6006144301311 its reverse (1131034416006), we get a palindrome (7137178717317).

The spelling of 6006144301311 in words is "six trillion, six billion, one hundred forty-four million, three hundred one thousand, three hundred eleven".