34568414712 has 320 divisors, whose sum is σ = 113316403200. Its totient is φ = 9750170880.

The previous prime is 34568414663. The next prime is 34568414753. The reversal of 34568414712 is 21741486543.

34568414712 is a `hidden beast` number, since 3 + 4 + 568 + 4 + 14 + 71 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4958253 + ... + 4965219.

It is an arithmetic number, because the mean of its divisors is an integer number (354113760).

Almost surely, 2^34568414712 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 34568414712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56658201600).

34568414712 is an abundant number, since it is smaller than the sum of its proper divisors (78747988488).

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

34568414712 is a wasteful number, since it uses less digits than its factorization.

34568414712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7048 (or 7035 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 34568414712 in words is "thirty-four billion, five hundred sixty-eight million, four hundred fourteen thousand, seven hundred twelve".