166973573376 has 81 divisors (see below), whose sum is σ = 481482534169. Its totient is φ = 55651319808.

The previous prime is 166973573321. The next prime is 166973573401. The reversal of 166973573376 is 673375379661.

The square root of 166973573376 is 408624.

It is a perfect power (a square), and thus also a powerful number.

166973573376 is a `hidden beast` number, since 166 + 9 + 7 + 35 + 73 + 376 = 666.

It can be written as a sum of positive squares in only one way, i.e., 163151366400 + 3822206976 = 403920^2 + 61824^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19609696 + ... + 19618208.

Almost surely, 2^166973573376 is an apocalyptic number.

166973573376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

166973573376 is the 408624-th square number.

It is an amenable number.

166973573376 is an abundant number, since it is smaller than the sum of its proper divisors (314508960793).

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

166973573376 is an frugal number, since it uses more digits than its factorization.

166973573376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17048 (or 8518 counting only the distinct ones).

The product of its digits is 90016920, while the sum is 63.

The spelling of 166973573376 in words is "one hundred sixty-six billion, nine hundred seventy-three million, five hundred seventy-three thousand, three hundred seventy-six".