22166445456 has 135 divisors (see below), whose sum is σ = 65572534209. Its totient is φ = 6989210496.

The previous prime is 22166445419. The next prime is 22166445461. The reversal of 22166445456 is 65454466122.

The square root of 22166445456 is 148884.

It is a perfect power (a square), and thus also a powerful number.

22166445456 is a `hidden beast` number, since 2 + 2 + 1 + 66 + 44 + 545 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5158112400 + 17008333056 = 71820^2 + 130416^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 33945226 + ... + 33945878.

Almost surely, 2^22166445456 is an apocalyptic number.

22166445456 is the 148884-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22166445456

22166445456 is an abundant number, since it is smaller than the sum of its proper divisors (43406088753).

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

22166445456 is an equidigital number, since it uses as much as digits as its factorization.

22166445456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 677 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The spelling of 22166445456 in words is "twenty-two billion, one hundred sixty-six million, four hundred forty-five thousand, four hundred fifty-six".