688048683169 has 9 divisors (see below), whose sum is σ = 712617545523. Its totient is φ = 664299640872.

The previous prime is 688048683107. The next prime is 688048683239. The reversal of 688048683169 is 961386840886.

The square root of 688048683169 is 829487.

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

It can be written as a sum of positive squares in only one way, i.e., 360796039569 + 327252643600 = 600663^2 + 572060^2 .

It is not a de Polignac number, because 688048683169 - 2¹¹ = 688048681121 is a prime.

It is a super-2 number, since 2×688048683169² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (688048680169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24040822 + ... + 24069424.

Almost surely, 2^688048683169 is an apocalyptic number.

688048683169 is the 829487-th square number.

688048683169 is the 414744-th centered octagonal number.

It is an amenable number.

688048683169 is a deficient number, since it is larger than the sum of its proper divisors (24568862354).

688048683169 is an frugal number, since it uses more digits than its factorization.

688048683169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57264 (or 28632 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 67.

The spelling of 688048683169 in words is "six hundred eighty-eight billion, forty-eight million, six hundred eighty-three thousand, one hundred sixty-nine".