48812274225 has 243 divisors, whose sum is σ = 105079713921. Its totient is φ = 21633955200.

The previous prime is 48812274211. The next prime is 48812274227. The reversal of 48812274225 is 52247221884.

The square root of 48812274225 is 220935.

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

48812274225 is a `hidden beast` number, since 488 + 122 + 7 + 42 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12581435889 + 36230838336 = 112167^2 + 190344^2 .

It is not a de Polignac number, because 48812274225 - 2¹³ = 48812266033 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (48812274227) by changing a digit.

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 242 ways as a sum of consecutive naturals, for example, 473905524 + ... + 473905626.

Almost surely, 2^48812274225 is an apocalyptic number.

48812274225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

48812274225 is the 220935-th square number.

48812274225 is the 110468-th centered octagonal number.

It is an amenable number.

48812274225 is an abundant number, since it is smaller than the sum of its proper divisors (56267439696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48812274225 is a wasteful number, since it uses less digits than its factorization.

48812274225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 135 counting only the distinct ones).

The product of its digits is 573440, while the sum is 45.

The spelling of 48812274225 in words is "forty-eight billion, eight hundred twelve million, two hundred seventy-four thousand, two hundred twenty-five".