48129778224 has 240 divisors, whose sum is σ = 150960885504. Its totient is φ = 14188608000.

The previous prime is 48129778223. The next prime is 48129778243. The reversal of 48129778224 is 42287792184.

48129778224 is a `hidden beast` number, since 481 + 2 + 97 + 78 + 2 + 2 + 4 = 666.

It is a Cunningham number, because it is equal to 219385²-1.

It is not an unprimeable number, because it can be changed into a prime (48129778223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18865749 + ... + 18868299.

Almost surely, 2^48129778224 is an apocalyptic number.

48129778224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48129778224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75480442752).

48129778224 is an abundant number, since it is smaller than the sum of its proper divisors (102831107280).

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

48129778224 is a wasteful number, since it uses less digits than its factorization.

48129778224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2896 (or 2887 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The spelling of 48129778224 in words is "forty-eight billion, one hundred twenty-nine million, seven hundred seventy-eight thousand, two hundred twenty-four".