1166109952 has 144 divisors (see below), whose sum is σ = 2899209600. Its totient is φ = 456744960.

The previous prime is 1166109947. The next prime is 1166109953. The reversal of 1166109952 is 2599016611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1166109953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 986802 + ... + 987982.

It is an arithmetic number, because the mean of its divisors is an integer number (20133400).

Almost surely, 2^1166109952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1166109952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449604800).

1166109952 is an abundant number, since it is smaller than the sum of its proper divisors (1733099648).

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

1166109952 is a wasteful number, since it uses less digits than its factorization.

1166109952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 40.

The square root of 1166109952 is about 34148.3521125105. The cubic root of 1166109952 is about 1052.5591248712.

The spelling of 1166109952 in words is "one billion, one hundred sixty-six million, one hundred nine thousand, nine hundred fifty-two".