448111984320 has 3136 divisors, whose sum is σ = 2283518684160. Its totient is φ = 80621568000.

The previous prime is 448111984303. The next prime is 448111984351. The reversal of 448111984320 is 23489111844.

448111984320 is a `hidden beast` number, since 44 + 81 + 11 + 98 + 432 + 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 447 ways as a sum of consecutive naturals, for example, 4436752270 + ... + 4436752370.

Almost surely, 2^448111984320 is an apocalyptic number.

448111984320 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 448111984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141759342080).

448111984320 is an abundant number, since it is smaller than the sum of its proper divisors (1835406699840).

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

448111984320 is a wasteful number, since it uses less digits than its factorization.

448111984320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 448111984320 in words is "four hundred forty-eight billion, one hundred eleven million, nine hundred eighty-four thousand, three hundred twenty".