48020148225 has 81 divisors (see below), whose sum is σ = 100099738947. Its totient is φ = 21941549280.

The previous prime is 48020148223. The next prime is 48020148229. The reversal of 48020148225 is 52284102084.

The square root of 48020148225 is 219135.

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., 17287253361 + 30732894864 = 131481^2 + 175308^2 .

It is not a de Polignac number, because 48020148225 - 2¹ = 48020148223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 48020148225.

It is not an unprimeable number, because it can be changed into a prime (48020148223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 23008132 + ... + 23010218.

Almost surely, 2^48020148225 is an apocalyptic number.

48020148225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

48020148225 is the 219135-th square number.

48020148225 is the 109568-th centered octagonal number.

It is an amenable number.

48020148225 is an abundant number, since it is smaller than the sum of its proper divisors (52079590722).

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

48020148225 is an equidigital number, since it uses as much as digits as its factorization.

48020148225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4204 (or 2102 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

Multiplying 48020148225 by its sum of digits (36), we get a square (1728725336100 = 1314810²).

The spelling of 48020148225 in words is "forty-eight billion, twenty million, one hundred forty-eight thousand, two hundred twenty-five".