44004363616566 has 128 divisors (see below), whose sum is σ = 103181256000000. Its totient is φ = 13862780951040.

The previous prime is 44004363616561. The next prime is 44004363616571. The reversal of 44004363616566 is 66561636340044.

44004363616566 is a `hidden beast` number, since 4 + 4 + 0 + 0 + 4 + 3 + 63 + 6 + 16 + 566 = 666.

It is an interprime number because it is at equal distance from previous prime (44004363616561) and next prime (44004363616571).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44004363616561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1535968210 + ... + 1535996858.

It is an arithmetic number, because the mean of its divisors is an integer number (806103562500).

Almost surely, 2^{44004363616566} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44004363616566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51590628000000).

44004363616566 is an abundant number, since it is smaller than the sum of its proper divisors (59176892383434).

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

44004363616566 is a wasteful number, since it uses less digits than its factorization.

44004363616566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32219 (or 32213 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 54.

The spelling of 44004363616566 in words is "forty-four trillion, four billion, three hundred sixty-three million, six hundred sixteen thousand, five hundred sixty-six".