444223728808224 has 48 divisors (see below), whose sum is σ = 1166121885271392. Its totient is φ = 148070182980608.

The previous prime is 444223728808213. The next prime is 444223728808297. The reversal of 444223728808224 is 422808827322444.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65391834 + ... + 71864729.

It is an arithmetic number, because the mean of its divisors is an integer number (24294205943154).

Almost surely, 2^{444223728808224} is an apocalyptic number.

It is an amenable number.

444223728808224 is an abundant number, since it is smaller than the sum of its proper divisors (721898156463168).

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

444223728808224 is a wasteful number, since it uses less digits than its factorization.

444223728808224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137290289 (or 137290281 counting only the distinct ones).

The product of its (nonzero) digits is 88080384, while the sum is 60.

The spelling of 444223728808224 in words is "four hundred forty-four trillion, two hundred twenty-three billion, seven hundred twenty-eight million, eight hundred eight thousand, two hundred twenty-four".