48129778225 has 81 divisors (see below), whose sum is σ = 66405638377. Its totient is φ = 34596136960.

The previous prime is 48129778223. The next prime is 48129778243. The reversal of 48129778225 is 52287792184.

The square root of 48129778225 is 219385.

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

It can be written as a sum of positive squares in 40 ways, for example, as 46999204849 + 1130573376 = 216793^2 + 33624^2 .

It is not a de Polignac number, because 48129778225 - 2¹ = 48129778223 is a prime.

It is a Duffinian number.

Its product of digits (4515840) is a multiple of the sum of its prime divisors (140).

It is not an unprimeable number, because it can be changed into a prime (48129778223) 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, 540783981 + ... + 540784069.

Almost surely, 2^48129778225 is an apocalyptic number.

48129778225 is the 219385-th square number.

48129778225 is the 109693-rd centered octagonal number.

It is an amenable number.

48129778225 is a deficient number, since it is larger than the sum of its proper divisors (18275860152).

48129778225 is an equidigital number, since it uses as much as digits as its factorization.

48129778225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 140 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 55.

The spelling of 48129778225 in words is "forty-eight billion, one hundred twenty-nine million, seven hundred seventy-eight thousand, two hundred twenty-five".