1166207071167 has 96 divisors (see below), whose sum is σ = 1822339995840. Its totient is φ = 716052234240.

The previous prime is 1166207071153. The next prime is 1166207071199. The reversal of 1166207071167 is 7611707026611.

It is a happy number.

1166207071167 is a `hidden beast` number, since 1 + 1 + 6 + 620 + 7 + 0 + 7 + 1 + 16 + 7 = 666.

It is not a de Polignac number, because 1166207071167 - 2⁴ = 1166207071151 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1166207073167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1239326917 + ... + 1239327857.

It is an arithmetic number, because the mean of its divisors is an integer number (18982708290).

Almost surely, 2^{1166207071167} is an apocalyptic number.

1166207071167 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

1166207071167 is a deficient number, since it is larger than the sum of its proper divisors (656132924673).

1166207071167 is a wasteful number, since it uses less digits than its factorization.

1166207071167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The spelling of 1166207071167 in words is "one trillion, one hundred sixty-six billion, two hundred seven million, seventy-one thousand, one hundred sixty-seven".