6001441646656 has 189 divisors, whose sum is σ = 12804823148367. Its totient is φ = 2790401967360.

The previous prime is 6001441646611. The next prime is 6001441646657. The reversal of 6001441646656 is 6566461441006.

The square root of 6001441646656 is 2449784.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6001441646657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26438068815 + ... + 26438069041.

Almost surely, 2^{6001441646656} is an apocalyptic number.

6001441646656 is the 2449784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6001441646656

6001441646656 is an abundant number, since it is smaller than the sum of its proper divisors (6803381501711).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6001441646656 is an frugal number, since it uses more digits than its factorization.

6001441646656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 49.

Multiplying 6001441646656 by its sum of digits (49), we get a square (294070640686144 = 17148488²).

The spelling of 6001441646656 in words is "six trillion, one billion, four hundred forty-one million, six hundred forty-six thousand, six hundred fifty-six".