1688432563609 has 9 divisors (see below), whose sum is σ = 1855896132181. Its totient is φ = 1534925700220.

The previous prime is 1688432563529. The next prime is 1688432563621. The reversal of 1688432563609 is 9063652348861.

The square root of 1688432563609 is 1299397.

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

It is not a de Polignac number, because 1688432563609 - 2¹¹ = 1688432561561 is a prime.

It is a super-2 number, since 2×1688432563609² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1688432563669) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14234304 + ... + 14352430.

Almost surely, 2^{1688432563609} is an apocalyptic number.

1688432563609 is the 1299397-th square number.

1688432563609 is the 649699-th centered octagonal number.

It is an amenable number.

1688432563609 is a deficient number, since it is larger than the sum of its proper divisors (167463568572).

1688432563609 is an frugal number, since it uses more digits than its factorization.

1688432563609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236276 (or 118138 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 61.

The spelling of 1688432563609 in words is "one trillion, six hundred eighty-eight billion, four hundred thirty-two million, five hundred sixty-three thousand, six hundred nine".