1166114064 has 80 divisors (see below), whose sum is σ = 3072124800. Its totient is φ = 381050880.

The previous prime is 1166114063. The next prime is 1166114083. The reversal of 1166114064 is 4604116611.

It is not an unprimeable number, because it can be changed into a prime (1166114063) 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, 1314229 + ... + 1315115.

It is an arithmetic number, because the mean of its divisors is an integer number (38401560).

Almost surely, 2^1166114064 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 1166114064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536062400).

1166114064 is an abundant number, since it is smaller than the sum of its proper divisors (1906010736).

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

1166114064 is a wasteful number, since it uses less digits than its factorization.

1166114064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1166114064 is about 34148.4123203408. The cubic root of 1166114064 is about 1052.5603620668.

The spelling of 1166114064 in words is "one billion, one hundred sixty-six million, one hundred fourteen thousand, sixty-four".