34112218611744 has 576 divisors, whose sum is σ = 121161974169600. Its totient is φ = 8863497861120.

The previous prime is 34112218611739. The next prime is 34112218611797. The reversal of 34112218611744 is 44711681221143.

It is a happy number.

34112218611744 is a `hidden beast` number, since 3 + 4 + 1 + 1 + 2 + 21 + 8 + 611 + 7 + 4 + 4 = 666.

It is a super-2 number, since 2×34112218611744² (a number of 28 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 34112218611744.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2915817607 + ... + 2915829305.

It is an arithmetic number, because the mean of its divisors is an integer number (210350649600).

Almost surely, 2^{34112218611744} 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 34112218611744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60580987084800).

34112218611744 is an abundant number, since it is smaller than the sum of its proper divisors (87049755557856).

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

34112218611744 is a wasteful number, since it uses less digits than its factorization.

34112218611744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13373 (or 13362 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

Adding to 34112218611744 its reverse (44711681221143), we get a palindrome (78823899832887).

The spelling of 34112218611744 in words is "thirty-four trillion, one hundred twelve billion, two hundred eighteen million, six hundred eleven thousand, seven hundred forty-four".