48024044840448 has 640 divisors, whose sum is σ = 158570525836800. Its totient is φ = 14261505490944.

The previous prime is 48024044840417. The next prime is 48024044840507. The reversal of 48024044840448 is 84404844042084.

48024044840448 is a `hidden beast` number, since 4 + 80 + 2 + 4 + 0 + 44 + 84 + 0 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 48024044840394 and 48024044840403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6371768136 + ... + 6371775672.

It is an arithmetic number, because the mean of its divisors is an integer number (247766446620).

Almost surely, 2^{48024044840448} is an apocalyptic number.

48024044840448 is a gapful number since it is divisible by the number (48) 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 48024044840448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79285262918400).

48024044840448 is an abundant number, since it is smaller than the sum of its proper divisors (110546480996352).

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

48024044840448 is a wasteful number, since it uses less digits than its factorization.

48024044840448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9027 (or 9005 counting only the distinct ones).

The product of its (nonzero) digits is 16777216, while the sum is 54.

The spelling of 48024044840448 in words is "forty-eight trillion, twenty-four billion, forty-four million, eight hundred forty thousand, four hundred forty-eight".