448737843456 has 432 divisors, whose sum is σ = 1538029875200. Its totient is φ = 127825496064.

The previous prime is 448737843353. The next prime is 448737843479. The reversal of 448737843456 is 654348737844.

448737843456 is a `hidden beast` number, since 4 + 4 + 8 + 73 + 78 + 43 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (216760320) is a multiple of the sum of its prime factors (3136).

It is a junction number, because it is equal to n+sod(n) for n = 448737843393 and 448737843402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165036465 + ... + 165039183.

Almost surely, 2^448737843456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448737843456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769014937600).

448737843456 is an abundant number, since it is smaller than the sum of its proper divisors (1089292031744).

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

448737843456 is an equidigital number, since it uses as much as digits as its factorization.

448737843456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3136 (or 3110 counting only the distinct ones).

The product of its digits is 216760320, while the sum is 63.

The spelling of 448737843456 in words is "four hundred forty-eight billion, seven hundred thirty-seven million, eight hundred forty-three thousand, four hundred fifty-six".