167345628241 has 9 divisors (see below), whose sum is σ = 183946835163. Its totient is φ = 152128298520.

The previous prime is 167345628239. The next prime is 167345628251. The reversal of 167345628241 is 142826543761.

The square root of 167345628241 is 409079.

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

167345628241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 148318184641 + 19027443600 = 385121^2 + 137940^2 .

It is not a de Polignac number, because 167345628241 - 2¹ = 167345628239 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (167345628251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4481275 + ... + 4518463.

Almost surely, 2^167345628241 is an apocalyptic number.

167345628241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

167345628241 is the 409079-th square number.

167345628241 is the 204540-th centered octagonal number.

It is an amenable number.

167345628241 is a deficient number, since it is larger than the sum of its proper divisors (16601206922).

167345628241 is an frugal number, since it uses more digits than its factorization.

167345628241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74400 (or 37200 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 49.

Multiplying 167345628241 by its sum of digits (49), we get a square (8199935783809 = 2863553²).

The spelling of 167345628241 in words is "one hundred sixty-seven billion, three hundred forty-five million, six hundred twenty-eight thousand, two hundred forty-one".