44346322364344 has 256 divisors, whose sum is σ = 112388145408000. Its totient is φ = 15842266675200.

The previous prime is 44346322364299. The next prime is 44346322364353.

44346322364344 is nontrivially palindromic in base 10.

44346322364344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 44346322364291 and 44346322364300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 995428182 + ... + 995472730.

It is an arithmetic number, because the mean of its divisors is an integer number (439016193000).

Almost surely, 2^{44346322364344} is an apocalyptic number.

44346322364344 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 44346322364344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56194072704000).

44346322364344 is an abundant number, since it is smaller than the sum of its proper divisors (68041823043656).

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

44346322364344 is a wasteful number, since it uses less digits than its factorization.

44346322364344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45414 (or 45410 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 52.

It can be divided in two parts, 4434632 and 2364344, that added together give a palindrome (6798976).

The spelling of 44346322364344 in words is "forty-four trillion, three hundred forty-six billion, three hundred twenty-two million, three hundred sixty-four thousand, three hundred forty-four".