448560518748540 has 192 divisors, whose sum is σ = 1386691186083840. Its totient is φ = 107429097775360.

The previous prime is 448560518748491. The next prime is 448560518748557. The reversal of 448560518748540 is 45847815065844.

It is a hoax number, since the sum of its digits (69) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2948128747 + ... + 2948280893.

It is an arithmetic number, because the mean of its divisors is an integer number (7222349927520).

Almost surely, 2^{448560518748540} 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 448560518748540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693345593041920).

448560518748540 is an abundant number, since it is smaller than the sum of its proper divisors (938130667335300).

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

448560518748540 is a wasteful number, since it uses less digits than its factorization.

448560518748540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206072 (or 206070 counting only the distinct ones).

The product of its (nonzero) digits is 688128000, while the sum is 69.

The spelling of 448560518748540 in words is "four hundred forty-eight trillion, five hundred sixty billion, five hundred eighteen million, seven hundred forty-eight thousand, five hundred forty".