44123466816 has 336 divisors, whose sum is σ = 157327567488. Its totient is φ = 11615846400.

The previous prime is 44123466791. The next prime is 44123466817. The reversal of 44123466816 is 61866432144.

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

It is not an unprimeable number, because it can be changed into a prime (44123466817) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1384501 + ... + 1416011.

It is an arithmetic number, because the mean of its divisors is an integer number (468236808).

Almost surely, 2^44123466816 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 44123466816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78663783744).

44123466816 is an abundant number, since it is smaller than the sum of its proper divisors (113204100672).

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

44123466816 is a wasteful number, since it uses less digits than its factorization.

44123466816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31570 (or 31557 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 44123466816 in words is "forty-four billion, one hundred twenty-three million, four hundred sixty-six thousand, eight hundred sixteen".