16442072542368 has 288 divisors, whose sum is σ = 54213719938560. Its totient is φ = 4674383147520.

The previous prime is 16442072542367. The next prime is 16442072542397. The reversal of 16442072542368 is 86324527024461.

It is a happy number.

16442072542368 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 20 + 7 + 254 + 2 + 368 = 666.

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

It is a super-3 number, since 3×16442072542368³ (a number of 41 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (16442072542367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4873755 + ... + 7525797.

It is an arithmetic number, because the mean of its divisors is an integer number (188242083120).

Almost surely, 2^{16442072542368} is an apocalyptic number.

16442072542368 is a gapful number since it is divisible by the number (18) 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 16442072542368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27106859969280).

16442072542368 is an abundant number, since it is smaller than the sum of its proper divisors (37771647396192).

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

16442072542368 is a wasteful number, since it uses less digits than its factorization.

16442072542368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2652192 (or 2652181 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 16442072542368 in words is "sixteen trillion, four hundred forty-two billion, seventy-two million, five hundred forty-two thousand, three hundred sixty-eight".