1261116427167 has 20 divisors (see below), whose sum is σ = 1883933700000. Its totient is φ = 840724769664.

The previous prime is 1261116427141. The next prime is 1261116427187. The reversal of 1261116427167 is 7617246111621.

1261116427167 is a `hidden beast` number, since 1 + 2 + 61 + 1 + 1 + 6 + 427 + 167 = 666.

It is not a de Polignac number, because 1261116427167 - 2¹¹ = 1261116425119 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1261116427187) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3894223 + ... + 4205615.

It is an arithmetic number, because the mean of its divisors is an integer number (94196685000).

Almost surely, 2^{1261116427167} is an apocalyptic number.

1261116427167 is a deficient number, since it is larger than the sum of its proper divisors (622817272833).

1261116427167 is an equidigital number, since it uses as much as digits as its factorization.

1261116427167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361404 (or 361395 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The spelling of 1261116427167 in words is "one trillion, two hundred sixty-one billion, one hundred sixteen million, four hundred twenty-seven thousand, one hundred sixty-seven".