1944885033216 has 288 divisors, whose sum is σ = 5828682173440. Its totient is φ = 647592744960.

The previous prime is 1944885033149. The next prime is 1944885033253. The reversal of 1944885033216 is 6123305884491.

It is a happy number.

1944885033216 is a `hidden beast` number, since 1 + 9 + 44 + 88 + 503 + 3 + 2 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 907551441 + ... + 907553583.

Almost surely, 2^{1944885033216} is an apocalyptic number.

1944885033216 is a gapful number since it is divisible by the number (16) 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 1944885033216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2914341086720).

1944885033216 is an abundant number, since it is smaller than the sum of its proper divisors (3883797140224).

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

1944885033216 is an frugal number, since it uses more digits than its factorization.

1944885033216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3801 (or 3769 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 1944885033216 in words is "one trillion, nine hundred forty-four billion, eight hundred eighty-five million, thirty-three thousand, two hundred sixteen".