10344141133344 has 192 divisors, whose sum is σ = 30498721344000. Its totient is φ = 3410592307200.

The previous prime is 10344141133343. The next prime is 10344141133409. The reversal of 10344141133344 is 44333114144301.

10344141133344 is a `hidden beast` number, since 1 + 0 + 3 + 44 + 141 + 133 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10344141133299 and 10344141133308.

It is not an unprimeable number, because it can be changed into a prime (10344141133343) 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, 90610252 + ... + 90724340.

It is an arithmetic number, because the mean of its divisors is an integer number (158847507000).

Almost surely, 2^{10344141133344} 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 10344141133344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15249360672000).

10344141133344 is an abundant number, since it is smaller than the sum of its proper divisors (20154580210656).

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

10344141133344 is a wasteful number, since it uses less digits than its factorization.

10344141133344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115248 (or 115234 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 10344141133344 its reverse (44333114144301), we get a palindrome (54677255277645).

The spelling of 10344141133344 in words is "ten trillion, three hundred forty-four billion, one hundred forty-one million, one hundred thirty-three thousand, three hundred forty-four".