16442023616256 has 288 divisors, whose sum is σ = 50178473228800. Its totient is φ = 4682022912000.

The previous prime is 16442023616231. The next prime is 16442023616261. The reversal of 16442023616256 is 65261632024461.

16442023616256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×16442023616256³ (a number of 41 digits) contains 333 as substring.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5478846756 + ... + 5478849756.

Almost surely, 2^{16442023616256} is an apocalyptic number.

16442023616256 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 16442023616256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25089236614400).

16442023616256 is an abundant number, since it is smaller than the sum of its proper divisors (33736449612544).

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

16442023616256 is a wasteful number, since it uses less digits than its factorization.

16442023616256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6095 (or 6081 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 16442023616256 in words is "sixteen trillion, four hundred forty-two billion, twenty-three million, six hundred sixteen thousand, two hundred fifty-six".