986464666464689 has 16 divisors (see below), whose sum is σ = 1037779706880000. Its totient is φ = 936302978956800.

The previous prime is 986464666464679. The next prime is 986464666464727.

986464666464689 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 986464666464689 - 2⁴⁸ = 704989689754033 is a prime.

It is a super-2 number, since 2×986464666464689² (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 = 986464666464598 and 986464666464607.

It is not an unprimeable number, because it can be changed into a prime (986464666464679) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1263013712 + ... + 1263794510.

It is an arithmetic number, because the mean of its divisors is an integer number (64861231680000).

Almost surely, 2^{986464666464689} is an apocalyptic number.

It is an amenable number.

986464666464689 is a deficient number, since it is larger than the sum of its proper divisors (51315040415311).

986464666464689 is a wasteful number, since it uses less digits than its factorization.

986464666464689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519288.

The product of its digits is 371504185344, while the sum is 92.

The spelling of 986464666464689 in words is "nine hundred eighty-six trillion, four hundred sixty-four billion, six hundred sixty-six million, four hundred sixty-four thousand, six hundred eighty-nine".