44809589666016 has 288 divisors, whose sum is σ = 154684171212480. Its totient is φ = 12011623170048.

The previous prime is 44809589665969. The next prime is 44809589666047. The reversal of 44809589666016 is 61066698590844.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 8801970 + ... + 12926478.

It is an arithmetic number, because the mean of its divisors is an integer number (537097816710).

Almost surely, 2^{44809589666016} 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 44809589666016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77342085606240).

44809589666016 is an abundant number, since it is smaller than the sum of its proper divisors (109874581546464).

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

44809589666016 is a wasteful number, since it uses less digits than its factorization.

44809589666016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4124866 (or 4124855 counting only the distinct ones).

The product of its (nonzero) digits is 537477120, while the sum is 72.

The spelling of 44809589666016 in words is "forty-four trillion, eight hundred nine billion, five hundred eighty-nine million, six hundred sixty-six thousand, sixteen".