27922744201 has 15 divisors (see below), whose sum is σ = 30737085015. Its totient is φ = 25365931800.

The previous prime is 27922744153. The next prime is 27922744219. The reversal of 27922744201 is 10244722972.

The square root of 27922744201 is 167101.

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

It can be written as a sum of positive squares in only one way, i.e., 12690247801 + 15232496400 = 112651^2 + 123420^2 .

It is not a de Polignac number, because 27922744201 - 2²⁷ = 27788526473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27922744301) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 20218531 + ... + 20219911.

It is an arithmetic number, because the mean of its divisors is an integer number (2049139001).

Almost surely, 2^27922744201 is an apocalyptic number.

27922744201 is the 167101-st square number.

27922744201 is the 83551-st centered octagonal number.

It is an amenable number.

27922744201 is a deficient number, since it is larger than the sum of its proper divisors (2814340814).

27922744201 is an frugal number, since it uses more digits than its factorization.

27922744201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2806 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The spelling of 27922744201 in words is "twenty-seven billion, nine hundred twenty-two million, seven hundred forty-four thousand, two hundred one".