47814382225 has 27 divisors (see below), whose sum is σ = 60021290739. Its totient is φ = 37785312000.

The previous prime is 47814382169. The next prime is 47814382247. The reversal of 47814382225 is 52228341874.

The square root of 47814382225 is 218665.

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

It can be written as a sum of positive squares in 13 ways, for example, as 23895903889 + 23918478336 = 154583^2 + 154656^2 .

It is not a de Polignac number, because 47814382225 - 2¹³ = 47814374033 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 110425609 + ... + 110426041.

Almost surely, 2^47814382225 is an apocalyptic number.

47814382225 is the 218665-th square number.

47814382225 is the 109333-rd centered octagonal number.

It is an amenable number.

47814382225 is a deficient number, since it is larger than the sum of its proper divisors (12206908514).

47814382225 is an frugal number, since it uses more digits than its factorization.

47814382225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 539 counting only the distinct ones).

The product of its digits is 860160, while the sum is 46.

The spelling of 47814382225 in words is "forty-seven billion, eight hundred fourteen million, three hundred eighty-two thousand, two hundred twenty-five".