986783808387689 has 12 divisors (see below), whose sum is σ = 1114987004490816. Its totient is φ = 871273998037872.

The previous prime is 986783808387649. The next prime is 986783808387691.

986783808387689 is nontrivially palindromic in base 10.

986783808387689 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-986783808387689 is a prime.

It is a super-2 number, since 2×986783808387689² (a number of 31 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 = 986783808387595 and 986783808387604.

It is not an unprimeable number, because it can be changed into a prime (986783808387649) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126933853637 + ... + 126933861410.

It is an arithmetic number, because the mean of its divisors is an integer number (92915583707568).

Almost surely, 2^{986783808387689} is an apocalyptic number.

It is an amenable number.

986783808387689 is a deficient number, since it is larger than the sum of its proper divisors (128203196103127).

986783808387689 is a wasteful number, since it uses less digits than its factorization.

986783808387689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253867715096 (or 253867715083 counting only the distinct ones).

The product of its (nonzero) digits is 337105649664, while the sum is 98.

The spelling of 986783808387689 in words is "nine hundred eighty-six trillion, seven hundred eighty-three billion, eight hundred eight million, three hundred eighty-seven thousand, six hundred eighty-nine".