48229908480 has 864 divisors, whose sum is σ = 195801946704. Its totient is φ = 10871635968.

The previous prime is 48229908479. The next prime is 48229908487. The reversal of 48229908480 is 8480992284.

48229908480 is a `hidden beast` number, since 482 + 2 + 9 + 9 + 0 + 84 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 29331357696 + 18898550784 = 171264^2 + 137472^2 .

It is a super-2 number, since 2×48229908480² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (48229908487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1303511022 + ... + 1303511058.

Almost surely, 2^48229908480 is an apocalyptic number.

48229908480 is a gapful number since it is divisible by the number (40) 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 48229908480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97900973352).

48229908480 is an abundant number, since it is smaller than the sum of its proper divisors (147572038224).

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

48229908480 is a wasteful number, since it uses less digits than its factorization.

48229908480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 48229908480 in words is "forty-eight billion, two hundred twenty-nine million, nine hundred eight thousand, four hundred eighty".