11445166180 has 72 divisors (see below), whose sum is σ = 27982709496. Its totient is φ = 3920716800.

The previous prime is 11445166163. The next prime is 11445166181. The reversal of 11445166180 is 8166154411.

It can be written as a sum of positive squares in 4 ways, for example, as 665743204 + 10779422976 = 25802^2 + 103824^2 .

It is not an unprimeable number, because it can be changed into a prime (11445166181) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1329490 + ... + 1338070.

It is an arithmetic number, because the mean of its divisors is an integer number (388648743).

Almost surely, 2^11445166180 is an apocalyptic number.

11445166180 is a gapful number since it is divisible by the number (10) 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 11445166180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13991354748).

11445166180 is an abundant number, since it is smaller than the sum of its proper divisors (16537543316).

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

11445166180 is a wasteful number, since it uses less digits than its factorization.

11445166180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9965 (or 9956 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The spelling of 11445166180 in words is "eleven billion, four hundred forty-five million, one hundred sixty-six thousand, one hundred eighty".