448067464128 has 280 divisors, whose sum is σ = 1399438267920. Its totient is φ = 141361459200.

The previous prime is 448067464111. The next prime is 448067464129. The reversal of 448067464128 is 821464760844.

448067464128 is a `hidden beast` number, since 4 + 480 + 67 + 46 + 41 + 28 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448067464129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 187239700 + ... + 187242092.

It is an arithmetic number, because the mean of its divisors is an integer number (4997993814).

Almost surely, 2^448067464128 is an apocalyptic number.

448067464128 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 448067464128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699719133960).

448067464128 is an abundant number, since it is smaller than the sum of its proper divisors (951370803792).

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

448067464128 is a wasteful number, since it uses less digits than its factorization.

448067464128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4337 (or 4318 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 448067464128 in words is "four hundred forty-eight billion, sixty-seven million, four hundred sixty-four thousand, one hundred twenty-eight".