16683042222144 has 945 divisors, whose sum is σ = 54442093684429. Its totient is φ = 5050387722240.

The previous prime is 16683042222109. The next prime is 16683042222149. The reversal of 16683042222144 is 44122224038661.

The square root of 16683042222144 is 4084488.

It is a perfect power (a square), and thus also a powerful number.

16683042222144 is a `hidden beast` number, since 1 + 6 + 6 + 8 + 3 + 0 + 422 + 2 + 214 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12988527681600 + 3694514540544 = 3603960^2 + 1922112^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 16683042222144.

It is not an unprimeable number, because it can be changed into a prime (16683042222149) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 234972425629 + ... + 234972425699.

Almost surely, 2^{16683042222144} is an apocalyptic number.

16683042222144 is the 4084488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16683042222144

16683042222144 is an abundant number, since it is smaller than the sum of its proper divisors (37759051462285).

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

16683042222144 is an frugal number, since it uses more digits than its factorization.

16683042222144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 16683042222144 in words is "sixteen trillion, six hundred eighty-three billion, forty-two million, two hundred twenty-two thousand, one hundred forty-four".