1766118112 has 144 divisors (see below), whose sum is σ = 4107874176. Its totient is φ = 739833600.

The previous prime is 1766118037. The next prime is 1766118121. The reversal of 1766118112 is 2118116671.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7780143 + ... + 7780369.

It is an arithmetic number, because the mean of its divisors is an integer number (28526904).

Almost surely, 2^1766118112 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 1766118112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2053937088).

1766118112 is an abundant number, since it is smaller than the sum of its proper divisors (2341756064).

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

1766118112 is a wasteful number, since it uses less digits than its factorization.

1766118112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 294 counting only the distinct ones).

The product of its digits is 4032, while the sum is 34.

The square root of 1766118112 is about 42025.2080542143. The cubic root of 1766118112 is about 1208.7595401681.

The spelling of 1766118112 in words is "one billion, seven hundred sixty-six million, one hundred eighteen thousand, one hundred twelve".