448394585493600 has 216 divisors, whose sum is σ = 1635673870172160. Its totient is φ = 115448720808960.

The previous prime is 448394585493583. The next prime is 448394585493653. The reversal of 448394585493600 is 6394585493844.

448394585493600 is a `hidden beast` number, since 4 + 4 + 8 + 3 + 9 + 4 + 5 + 8 + 5 + 4 + 9 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1073533024 + ... + 1073950623.

It is an arithmetic number, because the mean of its divisors is an integer number (7572564213760).

Almost surely, 2^{448394585493600} is an apocalyptic number.

448394585493600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448394585493600 is an abundant number, since it is smaller than the sum of its proper divisors (1187279284678560).

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

448394585493600 is a wasteful number, since it uses less digits than its factorization.

448394585493600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147483702 (or 2147483686 counting only the distinct ones).

The product of its (nonzero) digits is 1791590400, while the sum is 72.

The spelling of 448394585493600 in words is "four hundred forty-eight trillion, three hundred ninety-four billion, five hundred eighty-five million, four hundred ninety-three thousand, six hundred".