6144000205664 has 24 divisors (see below), whose sum is σ = 12231910527480. Its totient is φ = 3037483246336.

The previous prime is 6144000205643. The next prime is 6144000205697. The reversal of 6144000205664 is 4665020004416.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 1078648874 + ... + 1078654569.

It is an arithmetic number, because the mean of its divisors is an integer number (509662938645).

Almost surely, 2^{6144000205664} is an apocalyptic number.

It is an amenable number.

6144000205664 is a deficient number, since it is larger than the sum of its proper divisors (6087910321816).

6144000205664 is a wasteful number, since it uses less digits than its factorization.

6144000205664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157303542 (or 2157303534 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The spelling of 6144000205664 in words is "six trillion, one hundred forty-four billion, two hundred five thousand, six hundred sixty-four".