1688032373049 has 27 divisors (see below), whose sum is σ = 2680148857477. Its totient is φ = 1023023938200.

The previous prime is 1688032373029. The next prime is 1688032373057. The reversal of 1688032373049 is 9403732308861.

The square root of 1688032373049 is 1299243.

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

1688032373049 is a `hidden beast` number, since 1 + 6 + 8 + 8 + 0 + 323 + 7 + 304 + 9 = 666.

It is not a de Polignac number, because 1688032373049 - 2⁵ = 1688032373017 is a prime.

It is a super-2 number, since 2×1688032373049² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1688032372986 and 1688032373004.

It is not an unprimeable number, because it can be changed into a prime (1688032373029) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 42855334 + ... + 42894704.

Almost surely, 2^{1688032373049} is an apocalyptic number.

1688032373049 is the 1299243-rd square number.

1688032373049 is the 649622-nd centered octagonal number.

It is an amenable number.

1688032373049 is a deficient number, since it is larger than the sum of its proper divisors (992116484428).

1688032373049 is an frugal number, since it uses more digits than its factorization.

1688032373049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78770 (or 39385 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 1688032373049 in words is "one trillion, six hundred eighty-eight billion, thirty-two million, three hundred seventy-three thousand, forty-nine".