448720308739584 has 720 divisors, whose sum is σ = 1532275372742400. Its totient is φ = 126024172904448.

The previous prime is 448720308739561. The next prime is 448720308739603. The reversal of 448720308739584 is 485937803027844.

448720308739584 is a `hidden beast` number, since 4 + 4 + 8 + 7 + 2 + 0 + 3 + 0 + 8 + 7 + 39 + 584 = 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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4049072527 + ... + 4049183345.

It is an arithmetic number, because the mean of its divisors is an integer number (2128160239920).

Almost surely, 2^{448720308739584} 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 448720308739584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766137686371200).

448720308739584 is an abundant number, since it is smaller than the sum of its proper divisors (1083555064002816).

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

448720308739584 is a wasteful number, since it uses less digits than its factorization.

448720308739584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111163 (or 111137 counting only the distinct ones).

The product of its (nonzero) digits is 1300561920, while the sum is 72.

The spelling of 448720308739584 in words is "four hundred forty-eight trillion, seven hundred twenty billion, three hundred eight million, seven hundred thirty-nine thousand, five hundred eighty-four".