444221333316 has 18 divisors (see below), whose sum is σ = 1122892814862. Its totient is φ = 148073777760.

The previous prime is 444221333273. The next prime is 444221333317. The reversal of 444221333316 is 613333122444.

It is a happy number.

444221333316 is a `hidden beast` number, since 4 + 4 + 4 + 2 + 2 + 1 + 333 + 316 = 666.

It can be written as a sum of positive squares in only one way, i.e., 350985153600 + 93236179716 = 592440^2 + 305346^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 12339481481 = 444221333316 / (4 + 4 + 4 + 2 + 2 + 1 + 3 + 3 + 3 + 3 + 1 + 6).

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

It is not an unprimeable number, because it can be changed into a prime (444221333317) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 6169740705 + ... + 6169740776.

It is an arithmetic number, because the mean of its divisors is an integer number (62382934159).

Almost surely, 2^444221333316 is an apocalyptic number.

It is an amenable number.

444221333316 is an abundant number, since it is smaller than the sum of its proper divisors (678671481546).

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

444221333316 is a wasteful number, since it uses less digits than its factorization.

444221333316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12339481491 (or 12339481486 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The spelling of 444221333316 in words is "four hundred forty-four billion, two hundred twenty-one million, three hundred thirty-three thousand, three hundred sixteen".