986687585786689 has 8 divisors (see below), whose sum is σ = 987742994420520. Its totient is φ = 985632191712000.

The previous prime is 986687585786671. The next prime is 986687585786723.

986687585786689 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 214974742508289 + 771712843278400 = 14662017^2 + 27779720^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 986687585786689 - 2¹⁷ = 986687585655617 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 986687585786591 and 986687585786600.

It is not an unprimeable number, because it can be changed into a prime (986687585784689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134788489 + ... + 141920089.

It is an arithmetic number, because the mean of its divisors is an integer number (123467874302565).

Almost surely, 2^{986687585786689} is an apocalyptic number.

It is an amenable number.

986687585786689 is a deficient number, since it is larger than the sum of its proper divisors (1055408633831).

986687585786689 is a wasteful number, since it uses less digits than its factorization.

986687585786689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7279571.

The product of its digits is 4213820620800, while the sum is 106.

The spelling of 986687585786689 in words is "nine hundred eighty-six trillion, six hundred eighty-seven billion, five hundred eighty-five million, seven hundred eighty-six thousand, six hundred eighty-nine".