98636766763689 has 72 divisors (see below), whose sum is σ = 182354204200896. Its totient is φ = 50273088465600.

The previous prime is 98636766763679. The next prime is 98636766763699.

It is a happy number.

98636766763689 is a `hidden beast` number, since 9 + 8 + 63 + 67 + 66 + 76 + 368 + 9 = 666.

98636766763689 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (98636766763679) and next prime (98636766763699).

It is not a de Polignac number, because 98636766763689 - 2⁵ = 98636766763657 is a prime.

It is a super-3 number, since 3×98636766763689³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 98636766763599 and 98636766763608.

It is not an unprimeable number, because it can be changed into a prime (98636766763609) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 121665447 + ... + 122473484.

It is an arithmetic number, because the mean of its divisors is an integer number (2532697280568).

Almost surely, 2^{98636766763689} is an apocalyptic number.

98636766763689 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

98636766763689 is a deficient number, since it is larger than the sum of its proper divisors (83717437437207).

98636766763689 is a wasteful number, since it uses less digits than its factorization.

98636766763689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244139019 (or 244139005 counting only the distinct ones).

The product of its digits is 106662334464, while the sum is 90.

The spelling of 98636766763689 in words is "ninety-eight trillion, six hundred thirty-six billion, seven hundred sixty-six million, seven hundred sixty-three thousand, six hundred eighty-nine".