1683828220067 has 16 divisors (see below), whose sum is σ = 2008771430400. Its totient is φ = 1381030326720.

The previous prime is 1683828220051. The next prime is 1683828220147. The reversal of 1683828220067 is 7600228283861.

It is a cyclic number.

It is not a de Polignac number, because 1683828220067 - 2⁴ = 1683828220051 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1683828220367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43573817 + ... + 43612442.

It is an arithmetic number, because the mean of its divisors is an integer number (125548214400).

Almost surely, 2^{1683828220067} is an apocalyptic number.

1683828220067 is a deficient number, since it is larger than the sum of its proper divisors (324943210333).

1683828220067 is an equidigital number, since it uses as much as digits as its factorization.

1683828220067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87186386.

The product of its (nonzero) digits is 3096576, while the sum is 53.

The spelling of 1683828220067 in words is "one trillion, six hundred eighty-three billion, eight hundred twenty-eight million, two hundred twenty thousand, sixty-seven".