344112430041144 has 48 divisors (see below), whose sum is σ = 931977618460200. Its totient is φ = 114703349037504.

The previous prime is 344112430041131. The next prime is 344112430041187. The reversal of 344112430041144 is 441140034211443.

344112430041144 is a `hidden beast` number, since 3 + 4 + 41 + 1 + 2 + 430 + 0 + 41 + 144 = 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 = 344112430041099 and 344112430041108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6032499 + ... + 26918690.

Almost surely, 2^{344112430041144} is an apocalyptic number.

It is an amenable number.

344112430041144 is an abundant number, since it is smaller than the sum of its proper divisors (587865188419056).

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

344112430041144 is a wasteful number, since it uses less digits than its factorization.

344112430041144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33096244 (or 33096237 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 344112430041144 its reverse (441140034211443), we get a palindrome (785252464252587).

The spelling of 344112430041144 in words is "three hundred forty-four trillion, one hundred twelve billion, four hundred thirty million, forty-one thousand, one hundred forty-four".