448091484140160 has 1792 divisors, whose sum is σ = 1968128536089600. Its totient is φ = 95175015137280.

The previous prime is 448091484140071. The next prime is 448091484140189. The reversal of 448091484140160 is 61041484190844.

448091484140160 is a `hidden beast` number, since 4 + 4 + 8 + 0 + 9 + 1 + 484 + 140 + 16 + 0 = 666.

It is a super-3 number, since 3×448091484140160³ (a number of 45 digits) contains 333 as substring.

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 = 448091484140097 and 448091484140106.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 4386079480 + ... + 4386181640.

Almost surely, 2^{448091484140160} is an apocalyptic number.

448091484140160 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 448091484140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984064268044800).

448091484140160 is an abundant number, since it is smaller than the sum of its proper divisors (1520037051949440).

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

448091484140160 is a wasteful number, since it uses less digits than its factorization.

448091484140160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102301 (or 102274 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 448091484140160 in words is "four hundred forty-eight trillion, ninety-one billion, four hundred eighty-four million, one hundred forty thousand, one hundred sixty".