48746016225 has 81 divisors (see below), whose sum is σ = 89740943929. Its totient is φ = 25293129600.

The previous prime is 48746016217. The next prime is 48746016259. The reversal of 48746016225 is 52261064784.

The square root of 48746016225 is 220785.

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

48746016225 is a `hidden beast` number, since 4 + 8 + 7 + 460 + 162 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20517984081 + 28228032144 = 143241^2 + 168012^2 .

It is not a de Polignac number, because 48746016225 - 2³ = 48746016217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 135782596 + ... + 135782954.

Almost surely, 2^48746016225 is an apocalyptic number.

48746016225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

48746016225 is the 220785-th square number.

48746016225 is the 110393-rd centered octagonal number.

It is an amenable number.

48746016225 is a deficient number, since it is larger than the sum of its proper divisors (40994927704).

48746016225 is an equidigital number, since it uses as much as digits as its factorization.

48746016225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 48746016225 in words is "forty-eight billion, seven hundred forty-six million, sixteen thousand, two hundred twenty-five".