1167109395216 has 160 divisors (see below), whose sum is σ = 3142839916800. Its totient is φ = 372869038080.

The previous prime is 1167109395173. The next prime is 1167109395233. The reversal of 1167109395216 is 6125939017611.

It is an unprimeable number.

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 in 31 ways as a sum of consecutive naturals, for example, 177665980 + ... + 177672548.

It is an arithmetic number, because the mean of its divisors is an integer number (19642749480).

Almost surely, 2^{1167109395216} is an apocalyptic number.

1167109395216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1167109395216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571419958400).

1167109395216 is an abundant number, since it is smaller than the sum of its proper divisors (1975730521584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1167109395216 is a wasteful number, since it uses less digits than its factorization.

1167109395216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8097 (or 8091 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 51.

The spelling of 1167109395216 in words is "one trillion, one hundred sixty-seven billion, one hundred nine million, three hundred ninety-five thousand, two hundred sixteen".