448260241026528 has 72 divisors (see below), whose sum is σ = 1456845783342768. Its totient is φ = 128074354578432.

The previous prime is 448260241026503. The next prime is 448260241026529. The reversal of 448260241026528 is 825620142062844.

448260241026528 is a `hidden beast` number, since 4 + 4 + 8 + 2 + 6 + 0 + 2 + 4 + 102 + 6 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448260241026529) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111175653001 + ... + 111175657032.

It is an arithmetic number, because the mean of its divisors is an integer number (20233969213094).

Almost surely, 2^{448260241026528} is an apocalyptic number.

448260241026528 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

448260241026528 is an abundant number, since it is smaller than the sum of its proper divisors (1008585542316240).

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

448260241026528 is a wasteful number, since it uses less digits than its factorization.

448260241026528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222351310056 (or 222351310045 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 448260241026528 in words is "four hundred forty-eight trillion, two hundred sixty billion, two hundred forty-one million, twenty-six thousand, five hundred twenty-eight".