44338866883344 has 960 divisors, whose sum is σ = 142229468160000. Its totient is φ = 12780111052800.

The previous prime is 44338866883261. The next prime is 44338866883361.

44338866883344 is a `hidden beast` number, since 4 + 43 + 38 + 86 + 68 + 83 + 344 = 666.

44338866883344 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×44338866883344² (a number of 28 digits) contains 22 as substring.

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

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

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 88855444407 + ... + 88855444905.

It is an arithmetic number, because the mean of its divisors is an integer number (148155696000).

Almost surely, 2^{44338866883344} is an apocalyptic number.

44338866883344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44338866883344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71114734080000).

44338866883344 is an abundant number, since it is smaller than the sum of its proper divisors (97890601276656).

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

44338866883344 is a wasteful number, since it uses less digits than its factorization.

44338866883344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 875 counting only the distinct ones).

The product of its digits is 3057647616, while the sum is 72.

The spelling of 44338866883344 in words is "forty-four trillion, three hundred thirty-eight billion, eight hundred sixty-six million, eight hundred eighty-three thousand, three hundred forty-four".