448531665302688 has 96 divisors (see below), whose sum is σ = 1292937756913152. Its totient is φ = 135018562656000.

The previous prime is 448531665302671. The next prime is 448531665302689. The reversal of 448531665302688 is 886203566135844.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (448531665302689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1406283906 + ... + 1406602817.

It is an arithmetic number, because the mean of its divisors is an integer number (13468101634512).

Almost surely, 2^{448531665302688} is an apocalyptic number.

448531665302688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

448531665302688 is an abundant number, since it is smaller than the sum of its proper divisors (844406091610464).

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

448531665302688 is a wasteful number, since it uses less digits than its factorization.

448531665302688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2812886898 (or 2812886890 counting only the distinct ones).

The product of its (nonzero) digits is 796262400, while the sum is 69.

The spelling of 448531665302688 in words is "four hundred forty-eight trillion, five hundred thirty-one billion, six hundred sixty-five million, three hundred two thousand, six hundred eighty-eight".