16442663754060 has 144 divisors (see below), whose sum is σ = 50110477889472. Its totient is φ = 4364145676800.

The previous prime is 16442663754059. The next prime is 16442663754079. The reversal of 16442663754060 is 6045736624461.

It is a happy number.

16442663754060 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 2 + 6 + 6 + 37 + 540 + 60 = 666.

It is a super-3 number, since 3×16442663754060³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 16442663753988 and 16442663754006.

It is an unprimeable number.

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, 37681530 + ... + 38115390.

It is an arithmetic number, because the mean of its divisors is an integer number (347989429788).

Almost surely, 2^{16442663754060} is an apocalyptic number.

16442663754060 is a gapful number since it is divisible by the number (10) 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 16442663754060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25055238944736).

16442663754060 is an abundant number, since it is smaller than the sum of its proper divisors (33667814135412).

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

16442663754060 is a wasteful number, since it uses less digits than its factorization.

16442663754060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434864 (or 434859 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 16442663754060 in words is "sixteen trillion, four hundred forty-two billion, six hundred sixty-three million, seven hundred fifty-four thousand, sixty".