1444346036848 has 320 divisors, whose sum is σ = 3528134184960. Its totient is φ = 563397120000.

The previous prime is 1444346036821. The next prime is 1444346036851. The reversal of 1444346036848 is 8486306434441.

It is a super-2 number, since 2×1444346036848² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 304006473 + ... + 304011223.

It is an arithmetic number, because the mean of its divisors is an integer number (11025419328).

Almost surely, 2^{1444346036848} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1444346036848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764067092480).

1444346036848 is an abundant number, since it is smaller than the sum of its proper divisors (2083788148112).

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

1444346036848 is a wasteful number, since it uses less digits than its factorization.

1444346036848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4968 (or 4962 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 55.

The spelling of 1444346036848 in words is "one trillion, four hundred forty-four billion, three hundred forty-six million, thirty-six thousand, eight hundred forty-eight".