167715372547009 has 81 divisors (see below), whose sum is σ = 202248381792681. Its totient is φ = 138671849796480.

The previous prime is 167715372547003. The next prime is 167715372547061. The reversal of 167715372547009 is 900745273517761.

The square root of 167715372547009 is 12950497.

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

It can be written as a sum of positive squares in 4 ways, for example, as 12147346225 + 167703225200784 = 110215^2 + 12950028^2 .

It is not a de Polignac number, because 167715372547009 - 2³ = 167715372547001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (167715372547001) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 321910503669 + ... + 321910504189.

Almost surely, 2^{167715372547009} is an apocalyptic number.

167715372547009 is the 12950497-th square number.

167715372547009 is the 6475249-th centered octagonal number.

It is an amenable number.

167715372547009 is a deficient number, since it is larger than the sum of its proper divisors (34533009245672).

167715372547009 is an frugal number, since it uses more digits than its factorization.

167715372547009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 77792400, while the sum is 64.

The spelling of 167715372547009 in words is "one hundred sixty-seven trillion, seven hundred fifteen billion, three hundred seventy-two million, five hundred forty-seven thousand, nine".