44352211225344 has 576 divisors, whose sum is σ = 131275492508160. Its totient is φ = 13182124032000.

The previous prime is 44352211225321. The next prime is 44352211225363.

44352211225344 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44352211225296 and 44352211225305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46834435879 + ... + 46834436825.

It is an arithmetic number, because the mean of its divisors is an integer number (227908841160).

Almost surely, 2^{44352211225344} is an apocalyptic number.

44352211225344 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 44352211225344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65637746254080).

44352211225344 is an abundant number, since it is smaller than the sum of its proper divisors (86923281282816).

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

44352211225344 is a wasteful number, since it uses less digits than its factorization.

44352211225344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548 (or 1534 counting only the distinct ones).

The product of its digits is 921600, while the sum is 42.

The spelling of 44352211225344 in words is "forty-four trillion, three hundred fifty-two billion, two hundred eleven million, two hundred twenty-five thousand, three hundred forty-four".