9166810427775 has 1536 divisors, whose sum is σ = 24622424064000. Its totient is φ = 3218890752000.

The previous prime is 9166810427759. The next prime is 9166810427777. The reversal of 9166810427775 is 5777240186619.

9166810427775 is a `hidden beast` number, since 9 + 1 + 66 + 81 + 0 + 427 + 7 + 75 = 666.

It is not a de Polignac number, because 9166810427775 - 2⁴ = 9166810427759 is a prime.

It is a super-4 number, since 4×9166810427775⁴ (a number of 53 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9166810427777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 1535 ways as a sum of consecutive naturals, for example, 81122216119 + ... + 81122216231.

It is an arithmetic number, because the mean of its divisors is an integer number (16030224000).

Almost surely, 2^{9166810427775} is an apocalyptic number.

9166810427775 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

9166810427775 is an abundant number, since it is smaller than the sum of its proper divisors (15455613636225).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9166810427775 is a wasteful number, since it uses less digits than its factorization.

9166810427775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 9166810427775 in words is "nine trillion, one hundred sixty-six billion, eight hundred ten million, four hundred twenty-seven thousand, seven hundred seventy-five".