44343000034344 has 72 divisors (see below), whose sum is σ = 132005935045530. Its totient is φ = 13437272735040.

The previous prime is 44343000034331. The next prime is 44343000034363.

44343000034344 is a `hidden beast` number, since 4 + 4 + 3 + 4 + 300 + 0 + 0 + 3 + 4 + 344 = 666.

44343000034344 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 35068307422500 + 9274692611844 = 5921850^2 + 3045438^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 = 44343000034299 and 44343000034308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2544929307 + ... + 2544946730.

Almost surely, 2^{44343000034344} is an apocalyptic number.

44343000034344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44343000034344 is an abundant number, since it is smaller than the sum of its proper divisors (87662935011186).

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

44343000034344 is a wasteful number, since it uses less digits than its factorization.

44343000034344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5089876071 (or 5089876053 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

It can be divided in two parts, 443430000 and 34344, that added together give a palindrome (443464344).

The spelling of 44343000034344 in words is "forty-four trillion, three hundred forty-three billion, thirty-four thousand, three hundred forty-four".