167368537449 has 81 divisors (see below), whose sum is σ = 257711390391. Its totient is φ = 104665934880.

The previous prime is 167368537333. The next prime is 167368537477. The reversal of 167368537449 is 944735863761.

It is a happy number.

The square root of 167368537449 is 409107.

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

167368537449 is a `hidden beast` number, since 1 + 67 + 36 + 8 + 537 + 4 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 120655496025 + 46713041424 = 347355^2 + 216132^2 .

It is not a de Polignac number, because 167368537449 - 2¹⁷ = 167368406377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (167368537489) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 2016488362 + ... + 2016488444.

Almost surely, 2^167368537449 is an apocalyptic number.

167368537449 is the 409107-th square number.

167368537449 is the 204554-th centered octagonal number.

It is an amenable number.

167368537449 is a deficient number, since it is larger than the sum of its proper divisors (90342852942).

167368537449 is an frugal number, since it uses more digits than its factorization.

167368537449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 170 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 63.

The spelling of 167368537449 in words is "one hundred sixty-seven billion, three hundred sixty-eight million, five hundred thirty-seven thousand, four hundred forty-nine".