448220877048 has 512 divisors, whose sum is σ = 1574899200000. Its totient is φ = 115155468288.

The previous prime is 448220877023. The next prime is 448220877089. The reversal of 448220877048 is 840778022844.

It is a Cunningham number, because it is equal to 669493²-1.

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 = 448220876985 and 448220877003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 72302253 + ... + 72308451.

It is an arithmetic number, because the mean of its divisors is an integer number (3075975000).

Almost surely, 2^448220877048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448220877048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787449600000).

448220877048 is an abundant number, since it is smaller than the sum of its proper divisors (1126678322952).

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

448220877048 is a wasteful number, since it uses less digits than its factorization.

448220877048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6364 (or 6354 counting only the distinct ones).

The product of its (nonzero) digits is 6422528, while the sum is 54.

The spelling of 448220877048 in words is "four hundred forty-eight billion, two hundred twenty million, eight hundred seventy-seven thousand, forty-eight".