44312221344 has 96 divisors (see below), whose sum is σ = 124752156480. Its totient is φ = 13729277952.

The previous prime is 44312221339. The next prime is 44312221351.

44312221344 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132517 + ... + 325860.

It is an arithmetic number, because the mean of its divisors is an integer number (1299501630).

Almost surely, 2^44312221344 is an apocalyptic number.

It is an amenable number.

44312221344 is an abundant number, since it is smaller than the sum of its proper divisors (80439935136).

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

44312221344 is a wasteful number, since it uses less digits than its factorization.

44312221344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458462 (or 458454 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The spelling of 44312221344 in words is "forty-four billion, three hundred twelve million, two hundred twenty-one thousand, three hundred forty-four".