448533774000 has 1440 divisors, whose sum is σ = 1814267879424. Its totient is φ = 106991539200.

The previous prime is 448533773993. The next prime is 448533774053. The reversal of 448533774000 is 477335844.

448533774000 is a `hidden beast` number, since 4 + 4 + 8 + 533 + 77 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3531761937 + ... + 3531762063.

Almost surely, 2^448533774000 is an apocalyptic number.

448533774000 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 448533774000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907133939712).

448533774000 is an abundant number, since it is smaller than the sum of its proper divisors (1365734105424).

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

448533774000 is a wasteful number, since it uses less digits than its factorization.

448533774000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 448533774000 in words is "four hundred forty-eight billion, five hundred thirty-three million, seven hundred seventy-four thousand".