44325422452344 has 256 divisors, whose sum is σ = 127469013235200. Its totient is φ = 12703122432000.

The previous prime is 44325422452303. The next prime is 44325422452349.

44325422452344 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44325422452293 and 44325422452302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44325422452349) by changing a digit.

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, 13427875494 + ... + 13427878794.

It is an arithmetic number, because the mean of its divisors is an integer number (497925832950).

Almost surely, 2^{44325422452344} is an apocalyptic number.

44325422452344 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 44325422452344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63734506617600).

44325422452344 is an abundant number, since it is smaller than the sum of its proper divisors (83143590782856).

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

44325422452344 is a wasteful number, since it uses less digits than its factorization.

44325422452344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7134 (or 7130 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 48.

It can be divided in two parts, 4432542 and 2452344, that added together give a palindrome (6884886).

The spelling of 44325422452344 in words is "forty-four trillion, three hundred twenty-five billion, four hundred twenty-two million, four hundred fifty-two thousand, three hundred forty-four".