686339028913329 has 133 divisors (see below), whose sum is σ = 1132459338619561. Its totient is φ = 415963047826260.

The previous prime is 686339028913327. The next prime is 686339028913387. The reversal of 686339028913329 is 923319820933686.

The square root of 686339028913329 is 26198073.

The cubic root of 686339028913329 is 88209.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

686339028913329 is a `hidden beast` number, since 6 + 8 + 6 + 3 + 3 + 9 + 0 + 289 + 1 + 332 + 9 = 666.

It is not a de Polignac number, because 686339028913329 - 2¹ = 686339028913327 is a prime.

It is a super-2 number, since 2×686339028913329² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (686339028913327) 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 132 ways as a sum of consecutive naturals, for example, 62394457173934 + ... + 62394457173944.

Almost surely, 2^{686339028913329} is an apocalyptic number.

686339028913329 is the 26198073-rd square number.

686339028913329 is the 13099037-th centered octagonal number.

It is an amenable number.

686339028913329 is a deficient number, since it is larger than the sum of its proper divisors (446120309706232).

686339028913329 is an frugal number, since it uses more digits than its factorization.

686339028913329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 544195584, while the sum is 72.

The spelling of 686339028913329 in words is "six hundred eighty-six trillion, three hundred thirty-nine billion, twenty-eight million, nine hundred thirteen thousand, three hundred twenty-nine".