44311611344 has 120 divisors (see below), whose sum is σ = 116145899520. Its totient is φ = 15936180480.

The previous prime is 44311611319. The next prime is 44311611353.

44311611344 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 44311611344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50417 + ... + 301935.

It is an arithmetic number, because the mean of its divisors is an integer number (967882496).

Almost surely, 2^44311611344 is an apocalyptic number.

44311611344 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 44311611344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58072949760).

44311611344 is an abundant number, since it is smaller than the sum of its proper divisors (71834288176).

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

44311611344 is a wasteful number, since it uses less digits than its factorization.

44311611344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251569 (or 251552 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The spelling of 44311611344 in words is "forty-four billion, three hundred eleven million, six hundred eleven thousand, three hundred forty-four".