8444744209968 has 160 divisors (see below), whose sum is σ = 23924137328640. Its totient is φ = 2545574411520.

The previous prime is 8444744209943. The next prime is 8444744209973. The reversal of 8444744209968 is 8699024474448.

It is a super-2 number, since 2×8444744209968² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 76587805 + ... + 76697987.

It is an arithmetic number, because the mean of its divisors is an integer number (149525858304).

Almost surely, 2^{8444744209968} is an apocalyptic number.

8444744209968 is a gapful number since it is divisible by the number (88) 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 8444744209968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11962068664320).

8444744209968 is an abundant number, since it is smaller than the sum of its proper divisors (15479393118672).

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

8444744209968 is a wasteful number, since it uses less digits than its factorization.

8444744209968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110967 (or 110961 counting only the distinct ones).

The product of its (nonzero) digits is 445906944, while the sum is 69.

The spelling of 8444744209968 in words is "eight trillion, four hundred forty-four billion, seven hundred forty-four million, two hundred nine thousand, nine hundred sixty-eight".