3444783116016 has 160 divisors (see below), whose sum is σ = 9804849020928. Its totient is φ = 1033467851520.

The previous prime is 3444783115993. The next prime is 3444783116077. The reversal of 3444783116016 is 6106113874443.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 322328625 + ... + 322339311.

Almost surely, 2^{3444783116016} 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 3444783116016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4902424510464).

3444783116016 is an abundant number, since it is smaller than the sum of its proper divisors (6360065904912).

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

3444783116016 is a wasteful number, since it uses less digits than its factorization.

3444783116016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16739 (or 16733 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 3444783116016 in words is "three trillion, four hundred forty-four billion, seven hundred eighty-three million, one hundred sixteen thousand, sixteen".