44354445344 has 72 divisors (see below), whose sum is σ = 96086517660. Its totient is φ = 20139356160.

The previous prime is 44354445319. The next prime is 44354445371.

44354445344 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 42312490000 + 2041955344 = 205700^2 + 45188^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 44354445295 and 44354445304.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3901172 + ... + 3912524.

Almost surely, 2^44354445344 is an apocalyptic number.

44354445344 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 44354445344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48043258830).

44354445344 is an abundant number, since it is smaller than the sum of its proper divisors (51732072316).

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

44354445344 is a wasteful number, since it uses less digits than its factorization.

44354445344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12394 (or 12375 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 44.

The spelling of 44354445344 in words is "forty-four billion, three hundred fifty-four million, four hundred forty-five thousand, three hundred forty-four".