44355022055344 has 640 divisors, whose sum is σ = 125075134679040. Its totient is φ = 14660385177600.

The previous prime is 44355022055329. The next prime is 44355022055431.

It is a happy number.

44355022055344 is nontrivially palindromic in base 10.

44355022055344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 44355022055294 and 44355022055303.

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 127 ways as a sum of consecutive naturals, for example, 2308584682 + ... + 2308603894.

It is an arithmetic number, because the mean of its divisors is an integer number (195429897936).

Almost surely, 2^{44355022055344} is an apocalyptic number.

44355022055344 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 44355022055344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62537567339520).

44355022055344 is an abundant number, since it is smaller than the sum of its proper divisors (80720112623696).

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

44355022055344 is a wasteful number, since it uses less digits than its factorization.

44355022055344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19469 (or 19463 counting only the distinct ones).

The product of its (nonzero) digits is 5760000, while the sum is 46.

The spelling of 44355022055344 in words is "forty-four trillion, three hundred fifty-five billion, twenty-two million, fifty-five thousand, three hundred forty-four".