68034916108512 has 288 divisors, whose sum is σ = 207480073207680. Its totient is φ = 21070872576000.

The previous prime is 68034916108507. The next prime is 68034916108531. The reversal of 68034916108512 is 21580161943086.

It is a happy number.

68034916108512 is a `hidden beast` number, since 6 + 8 + 0 + 3 + 4 + 9 + 1 + 610 + 8 + 5 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4251908512 + ... + 4251924512.

It is an arithmetic number, because the mean of its divisors is an integer number (720416920860).

Almost surely, 2^{68034916108512} 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 68034916108512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103740036603840).

68034916108512 is an abundant number, since it is smaller than the sum of its proper divisors (139445157099168).

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

68034916108512 is a wasteful number, since it uses less digits than its factorization.

68034916108512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27106 (or 27095 counting only the distinct ones).

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

The spelling of 68034916108512 in words is "sixty-eight trillion, thirty-four billion, nine hundred sixteen million, one hundred eight thousand, five hundred twelve".