47845000225 has 81 divisors (see below), whose sum is σ = 67537053003. Its totient is φ = 33597696000.

The previous prime is 47845000183. The next prime is 47845000241. The reversal of 47845000225 is 52200054874.

It is a happy number.

The square root of 47845000225 is 218735.

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 47806510609 + 38489616 = 218647^2 + 6204^2 .

It is not a de Polignac number, because 47845000225 - 2¹¹ = 47844998177 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 493247377 + ... + 493247473.

Almost surely, 2^47845000225 is an apocalyptic number.

47845000225 is the 218735-th square number.

47845000225 is the 109368-th centered octagonal number.

It is an amenable number.

47845000225 is a deficient number, since it is larger than the sum of its proper divisors (19692052778).

47845000225 is an equidigital number, since it uses as much as digits as its factorization.

47845000225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 37.

The spelling of 47845000225 in words is "forty-seven billion, eight hundred forty-five million, two hundred twenty-five", and thus it is an aban number.