448017163776000 has 3744 divisors, whose sum is σ = 2098561028211648. Its totient is φ = 94509976780800.

The previous prime is 448017163775837. The next prime is 448017163776041. The reversal of 448017163776000 is 677361710844.

It is a happy number.

448017163776000 is a `hidden beast` number, since 4 + 4 + 8 + 0 + 17 + 16 + 3 + 7 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 79252989174 + ... + 79252994826.

It is an arithmetic number, because the mean of its divisors is an integer number (560513095142).

Almost surely, 2^{448017163776000} is an apocalyptic number.

448017163776000 is a gapful number since it is divisible by the number (40) 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 448017163776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049280514105824).

448017163776000 is an abundant number, since it is smaller than the sum of its proper divisors (1650543864435648).

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

448017163776000 is an equidigital number, since it uses as much as digits as its factorization.

448017163776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5734 (or 5683 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 448017163776000 in words is "four hundred forty-eight trillion, seventeen billion, one hundred sixty-three million, seven hundred seventy-six thousand".