167443821601 has 21 divisors (see below), whose sum is σ = 195514772851. Its totient is φ = 143402971152.

The previous prime is 167443821599. The next prime is 167443821619. The reversal of 167443821601 is 106128344761.

The square root of 167443821601 is 409199.

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

It can be written as a sum of positive squares in only one way, i.e., 86004360225 + 81439461376 = 293265^2 + 285376^2 .

It is not a de Polignac number, because 167443821601 - 2¹ = 167443821599 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (167443821901) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 140354661 + ... + 140355853.

Almost surely, 2^167443821601 is an apocalyptic number.

167443821601 is the 409199-th square number.

167443821601 is the 204600-th centered octagonal number.

It is an amenable number.

167443821601 is a deficient number, since it is larger than the sum of its proper divisors (28070951250).

167443821601 is an frugal number, since it uses more digits than its factorization.

167443821601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 167443821601 in words is "one hundred sixty-seven billion, four hundred forty-three million, eight hundred twenty-one thousand, six hundred one".