44766066744 has 256 divisors, whose sum is σ = 156100608000. Its totient is φ = 11590128000.

The previous prime is 44766066701. The next prime is 44766066773.

44766066744 is nontrivially palindromic in base 10.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 626869 + ... + 694619.

It is an arithmetic number, because the mean of its divisors is an integer number (609768000).

Almost surely, 2^44766066744 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 44766066744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78050304000).

44766066744 is an abundant number, since it is smaller than the sum of its proper divisors (111334541256).

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

44766066744 is a wasteful number, since it uses less digits than its factorization.

44766066744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67815 (or 67805 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 54.

The spelling of 44766066744 in words is "forty-four billion, seven hundred sixty-six million, sixty-six thousand, seven hundred forty-four".