167239284601 has 9 divisors (see below), whose sum is σ = 168953240653. Its totient is φ = 165542555200.

The previous prime is 167239284599. The next prime is 167239284617. The reversal of 167239284601 is 106482932761.

It is a happy number.

The square root of 167239284601 is 408949.

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 16307034601 + 150932250000 = 127699^2 + 388500^2 .

It is not a de Polignac number, because 167239284601 - 2¹ = 167239284599 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (167239284701) 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 8 ways as a sum of consecutive naturals, for example, 41301825 + ... + 41305873.

Almost surely, 2^167239284601 is an apocalyptic number.

167239284601 is the 408949-th square number.

167239284601 is the 204475-th centered octagonal number.

It is an amenable number.

167239284601 is a deficient number, since it is larger than the sum of its proper divisors (1713956052).

167239284601 is an frugal number, since it uses more digits than its factorization.

167239284601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8300 (or 4150 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

Multiplying 167239284601 by its sum of digits (49), we get a square (8194724945449 = 2862643²).

The spelling of 167239284601 in words is "one hundred sixty-seven billion, two hundred thirty-nine million, two hundred eighty-four thousand, six hundred one".