48480436224 has 540 divisors, whose sum is σ = 162519863688. Its totient is φ = 14332723200.

The previous prime is 48480436181. The next prime is 48480436237. The reversal of 48480436224 is 42263408484.

It is a self number, because there is not a number n which added to its sum of digits gives 48480436224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1182449644 + ... + 1182449684.

Almost surely, 2^48480436224 is an apocalyptic number.

48480436224 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 48480436224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81259931844).

48480436224 is an abundant number, since it is smaller than the sum of its proper divisors (114039427464).

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

48480436224 is an frugal number, since it uses more digits than its factorization.

48480436224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 45.

The spelling of 48480436224 in words is "forty-eight billion, four hundred eighty million, four hundred thirty-six thousand, two hundred twenty-four".