44433666816 has 288 divisors, whose sum is σ = 150231449088. Its totient is φ = 11322654720.

The previous prime is 44433666793. The next prime is 44433666877. The reversal of 44433666816 is 61866633444.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3127120 + ... + 3141296.

It is an arithmetic number, because the mean of its divisors is an integer number (521636976).

Almost surely, 2^44433666816 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 44433666816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75115724544).

44433666816 is an abundant number, since it is smaller than the sum of its proper divisors (105797782272).

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

44433666816 is a wasteful number, since it uses less digits than its factorization.

44433666816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14267 (or 14253 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 51.

The spelling of 44433666816 in words is "forty-four billion, four hundred thirty-three million, six hundred sixty-six thousand, eight hundred sixteen".