448010634528 has 90 divisors (see below), whose sum is σ = 1317687058611. Its totient is φ = 149325519168.

The previous prime is 448010634493. The next prime is 448010634541. The reversal of 448010634528 is 825436010844.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

448010634528 is a `hidden beast` number, since 4 + 4 + 8 + 0 + 1 + 0 + 634 + 5 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 224005317264 + 224005317264 = 473292^2 + 473292^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=473292.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 34070451 + ... + 34083597.

Almost surely, 2^448010634528 is an apocalyptic number.

448010634528 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

448010634528 is an abundant number, since it is smaller than the sum of its proper divisors (869676424083).

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

448010634528 is an frugal number, since it uses more digits than its factorization.

448010634528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26316 (or 13152 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 448010634528 in words is "four hundred forty-eight billion, ten million, six hundred thirty-four thousand, five hundred twenty-eight".