34218583814688 has 384 divisors, whose sum is σ = 111132998000640. Its totient is φ = 8977326059520.

The previous prime is 34218583814687. The next prime is 34218583814729. The reversal of 34218583814688 is 88641838581243.

It is a super-2 number, since 2×34218583814688² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34218583814687) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5100396678 + ... + 5100403386.

It is an arithmetic number, because the mean of its divisors is an integer number (289408848960).

Almost surely, 2^{34218583814688} 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 34218583814688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55566499000320).

34218583814688 is an abundant number, since it is smaller than the sum of its proper divisors (76914414185952).

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

34218583814688 is a wasteful number, since it uses less digits than its factorization.

34218583814688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9720 (or 9712 counting only the distinct ones).

The product of its digits is 283115520, while the sum is 69.

The spelling of 34218583814688 in words is "thirty-four trillion, two hundred eighteen billion, five hundred eighty-three million, eight hundred fourteen thousand, six hundred eighty-eight".