448523316114048 has 1920 divisors, whose sum is σ = 1651300419600000. Its totient is φ = 116382409113600.

The previous prime is 448523316114023. The next prime is 448523316114059. The reversal of 448523316114048 is 840411613325844.

448523316114048 is a `hidden beast` number, since 4 + 4 + 8 + 523 + 3 + 1 + 61 + 14 + 0 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 448523316113985 and 448523316114003.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 230129971378 + ... + 230129973326.

It is an arithmetic number, because the mean of its divisors is an integer number (860052301875).

Almost surely, 2^{448523316114048} is an apocalyptic number.

448523316114048 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 448523316114048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825650209800000).

448523316114048 is an abundant number, since it is smaller than the sum of its proper divisors (1202777103485952).

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

448523316114048 is a wasteful number, since it uses less digits than its factorization.

448523316114048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 448523316114048 in words is "four hundred forty-eight trillion, five hundred twenty-three billion, three hundred sixteen million, one hundred fourteen thousand, forty-eight".