167871764961 has 12 divisors (see below), whose sum is σ = 242496993492. Its totient is φ = 111907330656.

The previous prime is 167871764941. The next prime is 167871764971. The reversal of 167871764961 is 169467178761.

167871764961 is a `hidden beast` number, since 1 + 6 + 7 + 8 + 71 + 76 + 496 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 99883809936 + 67987955025 = 316044^2 + 260745^2 .

It is not a de Polignac number, because 167871764961 - 2⁹ = 167871764449 is a prime.

It is a super-2 number, since 2×167871764961² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (167871764941) 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 11 ways as a sum of consecutive naturals, for example, 448206 + ... + 732551.

It is an arithmetic number, because the mean of its divisors is an integer number (20208082791).

Almost surely, 2^167871764961 is an apocalyptic number.

It is an amenable number.

167871764961 is a deficient number, since it is larger than the sum of its proper divisors (74625228531).

167871764961 is a wasteful number, since it uses less digits than its factorization.

167871764961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196560 (or 1196557 counting only the distinct ones).

The product of its digits is 21337344, while the sum is 63.

The spelling of 167871764961 in words is "one hundred sixty-seven billion, eight hundred seventy-one million, seven hundred sixty-four thousand, nine hundred sixty-one".