48430106480448 has 896 divisors, whose sum is σ = 179469010022400. Its totient is φ = 12544477102080.

The previous prime is 48430106480419. The next prime is 48430106480449. The reversal of 48430106480448 is 84408460103484.

48430106480448 is a `hidden beast` number, since 4 + 84 + 30 + 10 + 6 + 4 + 80 + 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 = 48430106480394 and 48430106480403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48430106480449) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6101811136 + ... + 6101819072.

It is an arithmetic number, because the mean of its divisors is an integer number (200300234400).

Almost surely, 2^{48430106480448} is an apocalyptic number.

48430106480448 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 48430106480448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89734505011200).

48430106480448 is an abundant number, since it is smaller than the sum of its proper divisors (131038903541952).

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

48430106480448 is a wasteful number, since it uses less digits than its factorization.

48430106480448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8377 (or 8339 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 54.

The spelling of 48430106480448 in words is "forty-eight trillion, four hundred thirty billion, one hundred six million, four hundred eighty thousand, four hundred forty-eight".