10114403200344 has 192 divisors, whose sum is σ = 28348954452000. Its totient is φ = 3255542016000.

The previous prime is 10114403200339. The next prime is 10114403200361. The reversal of 10114403200344 is 44300230441101.

10114403200344 is a `hidden beast` number, since 1 + 0 + 1 + 14 + 403 + 200 + 3 + 44 = 666.

10114403200344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1520273722 + ... + 1520280374.

Almost surely, 2^{10114403200344} 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 10114403200344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14174477226000).

10114403200344 is an abundant number, since it is smaller than the sum of its proper divisors (18234551251656).

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

10114403200344 is a wasteful number, since it uses less digits than its factorization.

10114403200344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11906 (or 11899 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10114403200344 its reverse (44300230441101), we get a palindrome (54414633641445).

The spelling of 10114403200344 in words is "ten trillion, one hundred fourteen billion, four hundred three million, two hundred thousand, three hundred forty-four".