166165241371600 has 60 divisors (see below), whose sum is σ = 399229171145740. Its totient is φ = 66463236403200.

The previous prime is 166165241371567. The next prime is 166165241371637. The reversal of 166165241371600 is 6173142561661.

It can be written as a sum of positive squares in 6 ways, for example, as 44474867426704 + 121690373944896 = 6668948^2 + 11031336^2 .

It is a super-4 number, since 4×166165241371600⁴ (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 381280 + ... + 18233920.

Almost surely, 2^{166165241371600} is an apocalyptic number.

166165241371600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166165241371600 is an abundant number, since it is smaller than the sum of its proper divisors (233063929774140).

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

166165241371600 is a wasteful number, since it uses less digits than its factorization.

166165241371600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17875928 (or 17875917 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

The spelling of 166165241371600 in words is "one hundred sixty-six trillion, one hundred sixty-five billion, two hundred forty-one million, three hundred seventy-one thousand, six hundred".