167791293121 has 2 divisors, whose sum is σ = 167791293122. Its totient is φ = 167791293120.

The previous prime is 167791293119. The next prime is 167791293133. The reversal of 167791293121 is 121392197761.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 152057103025 + 15734190096 = 389945^2 + 125436^2 .

It is a cyclic number.

It is not a de Polignac number, because 167791293121 - 2¹ = 167791293119 is a prime.

Together with 167791293119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (167792293121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 83895646560 + 83895646561.

It is an arithmetic number, because the mean of its divisors is an integer number (83895646561).

Almost surely, 2^167791293121 is an apocalyptic number.

It is an amenable number.

167791293121 is a deficient number, since it is larger than the sum of its proper divisors (1).

167791293121 is an equidigital number, since it uses as much as digits as its factorization.

167791293121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 285768, while the sum is 49.

The spelling of 167791293121 in words is "one hundred sixty-seven billion, seven hundred ninety-one million, two hundred ninety-three thousand, one hundred twenty-one".