44166805281 has 45 divisors (see below), whose sum is σ = 69689544771. Its totient is φ = 27872127216.

The previous prime is 44166805219. The next prime is 44166805289. The reversal of 44166805281 is 18250866144.

It is a happy number.

The square root of 44166805281 is 210159.

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

44166805281 is a `hidden beast` number, since 4 + 41 + 6 + 6 + 80 + 528 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 43593681681 + 573123600 = 208791^2 + 23940^2 .

It is not a de Polignac number, because 44166805281 - 2²¹ = 44164708129 is a prime.

It is a super-2 number, since 2×44166805281² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (44166805289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 35936575 + ... + 35937803.

Almost surely, 2^44166805281 is an apocalyptic number.

44166805281 is the 210159-th square number.

44166805281 is the 105080-th centered octagonal number.

It is an amenable number.

44166805281 is a deficient number, since it is larger than the sum of its proper divisors (25522739490).

44166805281 is an frugal number, since it uses more digits than its factorization.

44166805281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2508 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 44166805281 in words is "forty-four billion, one hundred sixty-six million, eight hundred five thousand, two hundred eighty-one".