448138386936 has 96 divisors (see below), whose sum is σ = 1243347980160. Its totient is φ = 145739393856.

The previous prime is 448138386931. The next prime is 448138386961. The reversal of 448138386936 is 639683831844.

448138386936 is a `hidden beast` number, since 4 + 481 + 38 + 38 + 6 + 93 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448138386931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2651805 + ... + 2815731.

It is an arithmetic number, because the mean of its divisors is an integer number (12951541460).

Almost surely, 2^448138386936 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 448138386936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621673990080).

448138386936 is an abundant number, since it is smaller than the sum of its proper divisors (795209593224).

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

448138386936 is a wasteful number, since it uses less digits than its factorization.

448138386936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164865 (or 164858 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 63.

The spelling of 448138386936 in words is "four hundred forty-eight billion, one hundred thirty-eight million, three hundred eighty-six thousand, nine hundred thirty-six".