34104144468114 has 640 divisors, whose sum is σ = 97121342545920. Its totient is φ = 8720566272000.

The previous prime is 34104144468113. The next prime is 34104144468127. The reversal of 34104144468114 is 41186444140143.

34104144468114 is a `hidden beast` number, since 3 + 4 + 104 + 14 + 446 + 81 + 14 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 34104144468114.

It is not an unprimeable number, because it can be changed into a prime (34104144468113) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 32082919947 + ... + 32082921009.

It is an arithmetic number, because the mean of its divisors is an integer number (151752097728).

Almost surely, 2^{34104144468114} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34104144468114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48560671272960).

34104144468114 is an abundant number, since it is smaller than the sum of its proper divisors (63017198077806).

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

34104144468114 is a wasteful number, since it uses less digits than its factorization.

34104144468114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1868 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 34104144468114 in words is "thirty-four trillion, one hundred four billion, one hundred forty-four million, four hundred sixty-eight thousand, one hundred fourteen".