44289985457952 has 768 divisors, whose sum is σ = 148066806988800. Its totient is φ = 12767500247040.

The previous prime is 44289985457929. The next prime is 44289985458011. The reversal of 44289985457952 is 25975458998244.

44289985457952 is a `hidden beast` number, since 4 + 4 + 2 + 89 + 9 + 85 + 457 + 9 + 5 + 2 = 666.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 8971029628 + ... + 8971034564.

It is an arithmetic number, because the mean of its divisors is an integer number (192795321600).

Almost surely, 2^{44289985457952} 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 44289985457952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74033403494400).

44289985457952 is an abundant number, since it is smaller than the sum of its proper divisors (103776821530848).

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

44289985457952 is a wasteful number, since it uses less digits than its factorization.

44289985457952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5446 (or 5432 counting only the distinct ones).

The product of its digits is 10450944000, while the sum is 81.

The spelling of 44289985457952 in words is "forty-four trillion, two hundred eighty-nine billion, nine hundred eighty-five million, four hundred fifty-seven thousand, nine hundred fifty-two".