1166431114116 has 72 divisors (see below), whose sum is σ = 3122656186104. Its totient is φ = 365852712960.

The previous prime is 1166431114109. The next prime is 1166431114127. The reversal of 1166431114116 is 6114111346611.

1166431114116 is a `hidden beast` number, since 1 + 1 + 6 + 643 + 1 + 1 + 1 + 4 + 1 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 155199754116 + 1011231360000 = 393954^2 + 1005600^2 .

It is a super-2 number, since 2×1166431114116² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2392056 + ... + 2838096.

It is an arithmetic number, because the mean of its divisors is an integer number (43370224807).

Almost surely, 2^{1166431114116} is an apocalyptic number.

It is an amenable number.

1166431114116 is an abundant number, since it is smaller than the sum of its proper divisors (1956225071988).

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

1166431114116 is a wasteful number, since it uses less digits than its factorization.

1166431114116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450341 (or 450336 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The spelling of 1166431114116 in words is "one trillion, one hundred sixty-six billion, four hundred thirty-one million, one hundred fourteen thousand, one hundred sixteen".