6068405918016 has 336 divisors, whose sum is σ = 19074125464576. Its totient is φ = 1833328484352.

The previous prime is 6068405917993. The next prime is 6068405918023. The reversal of 6068405918016 is 6108195048606.

6068405918016 is a `hidden beast` number, since 6 + 0 + 6 + 8 + 40 + 591 + 8 + 0 + 1 + 6 = 666.

It is a super-2 number, since 2×6068405918016² (a number of 26 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 121872261 + ... + 121922043.

Almost surely, 2^{6068405918016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6068405918016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9537062732288).

6068405918016 is an abundant number, since it is smaller than the sum of its proper divisors (13005719546560).

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

6068405918016 is a wasteful number, since it uses less digits than its factorization.

6068405918016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50110 (or 50097 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 6068405918016 in words is "six trillion, sixty-eight billion, four hundred five million, nine hundred eighteen thousand, sixteen".