34144212213104 has 160 divisors (see below), whose sum is σ = 76147481427840. Its totient is φ = 14528676556800.

The previous prime is 34144212213077. The next prime is 34144212213107. The reversal of 34144212213104 is 40131221244143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34144212213107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24868325762 + ... + 24868327134.

It is an arithmetic number, because the mean of its divisors is an integer number (475921758924).

Almost surely, 2^{34144212213104} 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 34144212213104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38073740713920).

34144212213104 is an abundant number, since it is smaller than the sum of its proper divisors (42003269214736).

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

34144212213104 is a wasteful number, since it uses less digits than its factorization.

34144212213104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3619 (or 3613 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 34144212213104 its reverse (40131221244143), we get a palindrome (74275433457247).

The spelling of 34144212213104 in words is "thirty-four trillion, one hundred forty-four billion, two hundred twelve million, two hundred thirteen thousand, one hundred four".