22728276081 has 45 divisors (see below), whose sum is σ = 39511830171. Its totient is φ = 12982159008.

The previous prime is 22728276061. The next prime is 22728276127. The reversal of 22728276081 is 18067282722.

The square root of 22728276081 is 150759.

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

22728276081 is a `hidden beast` number, since 227 + 282 + 76 + 0 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 472410225 + 22255865856 = 21735^2 + 149184^2 .

It is not a de Polignac number, because 22728276081 - 2⁵ = 22728276049 is a prime.

It is a super-4 number, since 4×22728276081⁴ (a number of 43 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (22728276001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 9496621 + ... + 9499013.

Almost surely, 2^22728276081 is an apocalyptic number.

22728276081 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

22728276081 is the 150759-th square number.

22728276081 is the 75380-th centered octagonal number.

It is an amenable number.

22728276081 is a deficient number, since it is larger than the sum of its proper divisors (16783554090).

22728276081 is an frugal number, since it uses more digits than its factorization.

22728276081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4812 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 22728276081 in words is "twenty-two billion, seven hundred twenty-eight million, two hundred seventy-six thousand, eighty-one".