1668456687667 has 48 divisors (see below), whose sum is σ = 2220791413248. Its totient is φ = 1238043683520.

The previous prime is 1668456687661. The next prime is 1668456687671. The reversal of 1668456687667 is 7667866548661.

It is not a de Polignac number, because 1668456687667 - 2³ = 1668456687659 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1668456687593 and 1668456687602.

It is not an unprimeable number, because it can be changed into a prime (1668456687661) 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 47 ways as a sum of consecutive naturals, for example, 47308 + ... + 1827334.

It is an arithmetic number, because the mean of its divisors is an integer number (46266487776).

Almost surely, 2^{1668456687667} is an apocalyptic number.

1668456687667 is a deficient number, since it is larger than the sum of its proper divisors (552334725581).

1668456687667 is a wasteful number, since it uses less digits than its factorization.

1668456687667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780136 (or 1780129 counting only the distinct ones).

The product of its digits is 2926264320, while the sum is 76.

The spelling of 1668456687667 in words is "one trillion, six hundred sixty-eight billion, four hundred fifty-six million, six hundred eighty-seven thousand, six hundred sixty-seven".