448861077504 has 384 divisors, whose sum is σ = 1537008607680. Its totient is φ = 128230096896.

The previous prime is 448861077499. The next prime is 448861077523. The reversal of 448861077504 is 405770168844.

448861077504 is a `hidden beast` number, since 4 + 4 + 8 + 8 + 61 + 0 + 77 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55734342 + ... + 55742394.

Almost surely, 2^448861077504 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 448861077504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768504303840).

448861077504 is an abundant number, since it is smaller than the sum of its proper divisors (1088147530176).

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

448861077504 is an frugal number, since it uses more digits than its factorization.

448861077504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8105 (or 8065 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 448861077504 in words is "four hundred forty-eight billion, eight hundred sixty-one million, seventy-seven thousand, five hundred four".