444308959219968 has 108 divisors (see below), whose sum is σ = 1325226480128460. Its totient is φ = 142995986853888.

The previous prime is 444308959219967. The next prime is 444308959219969. The reversal of 444308959219968 is 869912959803444.

444308959219968 is a `hidden beast` number, since 4 + 4 + 4 + 3 + 0 + 8 + 9 + 592 + 19 + 9 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (444308959219967) and next prime (444308959219969).

It can be written as a sum of positive squares in 2 ways, for example, as 327076195221504 + 117232763998464 = 18085248^2 + 10827408^2 .

It is not an unprimeable number, because it can be changed into a prime (444308959219967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3324802671 + ... + 3324936302.

It is an arithmetic number, because the mean of its divisors is an integer number (12270615556745).

Almost surely, 2^{444308959219968} is an apocalyptic number.

444308959219968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

444308959219968 is an abundant number, since it is smaller than the sum of its proper divisors (880917520908492).

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

444308959219968 is a wasteful number, since it uses less digits than its factorization.

444308959219968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6649739024 (or 6649739007 counting only the distinct ones).

The product of its (nonzero) digits is 4837294080, while the sum is 81.

The spelling of 444308959219968 in words is "four hundred forty-four trillion, three hundred eight billion, nine hundred fifty-nine million, two hundred nineteen thousand, nine hundred sixty-eight".