8016443990016 has 448 divisors, whose sum is σ = 27569616468480. Its totient is φ = 2010379714560.

The previous prime is 8016443989993. The next prime is 8016443990021. The reversal of 8016443990016 is 6100993446108.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-4 number, since 4×8016443990016⁴ (a number of 53 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54805170 + ... + 54951246.

Almost surely, 2^{8016443990016} 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 8016443990016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13784808234240).

8016443990016 is an abundant number, since it is smaller than the sum of its proper divisors (19553172478464).

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

8016443990016 is a wasteful number, since it uses less digits than its factorization.

8016443990016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146153 (or 146129 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 8016443990016 in words is "eight trillion, sixteen billion, four hundred forty-three million, nine hundred ninety thousand, sixteen".