34112144121144 has 128 divisors (see below), whose sum is σ = 92473533945600. Its totient is φ = 10449447275520.

The previous prime is 34112144121131. The next prime is 34112144121151. The reversal of 34112144121144 is 44112144121143.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2530524 + ... + 8638740.

It is an arithmetic number, because the mean of its divisors is an integer number (722449483950).

Almost surely, 2^{34112144121144} 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 34112144121144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46236766972800).

34112144121144 is an abundant number, since it is smaller than the sum of its proper divisors (58361389824456).

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

34112144121144 is a wasteful number, since it uses less digits than its factorization.

34112144121144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6108613 (or 6108609 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

Adding to 34112144121144 its reverse (44112144121143), we get a palindrome (78224288242287).

Subtracting 34112144121144 from its reverse (44112144121143), we obtain a palindrome (9999999999999).

The spelling of 34112144121144 in words is "thirty-four trillion, one hundred twelve billion, one hundred forty-four million, one hundred twenty-one thousand, one hundred forty-four".