167353809921 has 27 divisors (see below), whose sum is σ = 255161259171. Its totient is φ = 105682415904.

The previous prime is 167353809911. The next prime is 167353809923. The reversal of 167353809921 is 129908353761.

The square root of 167353809921 is 409089.

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

167353809921 is a `hidden beast` number, since 16 + 7 + 3 + 538 + 0 + 9 + 92 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 156258137025 + 11095672896 = 395295^2 + 105336^2 .

It is not a de Polignac number, because 167353809921 - 2⁷ = 167353809793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (167353809923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23314485 + ... + 23321661.

Almost surely, 2^167353809921 is an apocalyptic number.

167353809921 is the 409089-th square number.

167353809921 is the 204545-th centered octagonal number.

It is an amenable number.

167353809921 is a deficient number, since it is larger than the sum of its proper divisors (87807449250).

167353809921 is an frugal number, since it uses more digits than its factorization.

167353809921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14398 (or 7199 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 167353809921 in words is "one hundred sixty-seven billion, three hundred fifty-three million, eight hundred nine thousand, nine hundred twenty-one".