166093737705 has 128 divisors (see below), whose sum is σ = 357533429760. Its totient is φ = 71417687040.

The previous prime is 166093737697. The next prime is 166093737707. The reversal of 166093737705 is 507737390661.

It is not a de Polignac number, because 166093737705 - 2³ = 166093737697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (166093737707) 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 127 ways as a sum of consecutive naturals, for example, 49269670 + ... + 49273040.

It is an arithmetic number, because the mean of its divisors is an integer number (2793229920).

Almost surely, 2^166093737705 is an apocalyptic number.

166093737705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

166093737705 is an abundant number, since it is smaller than the sum of its proper divisors (191439692055).

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

166093737705 is a wasteful number, since it uses less digits than its factorization.

166093737705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6476 (or 6470 counting only the distinct ones).

The product of its (nonzero) digits is 5000940, while the sum is 54.

The spelling of 166093737705 in words is "one hundred sixty-six billion, ninety-three million, seven hundred thirty-seven thousand, seven hundred five".