1667605484164 has 81 divisors (see below), whose sum is σ = 3104330709207. Its totient is φ = 783771659088.

The previous prime is 1667605484147. The next prime is 1667605484173. The reversal of 1667605484164 is 4614845067661.

The square root of 1667605484164 is 1291358.

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

It is a super-3 number, since 3×1667605484164³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1667605484099 and 1667605484108.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3979965147 + ... + 3979965565.

Almost surely, 2^{1667605484164} is an apocalyptic number.

1667605484164 is the 1291358-th square number.

It is an amenable number.

1667605484164 is a deficient number, since it is larger than the sum of its proper divisors (1436725225043).

1667605484164 is an frugal number, since it uses more digits than its factorization.

1667605484164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 58.

The spelling of 1667605484164 in words is "one trillion, six hundred sixty-seven billion, six hundred five million, four hundred eighty-four thousand, one hundred sixty-four".