448147095552 has 720 divisors, whose sum is σ = 1534706756352. Its totient is φ = 129100677120.

The previous prime is 448147095523. The next prime is 448147095553. The reversal of 448147095552 is 255590741844.

448147095552 is a `hidden beast` number, since 4 + 4 + 8 + 14 + 70 + 9 + 5 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448147095553) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2346319777 + ... + 2346319967.

Almost surely, 2^448147095552 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 448147095552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767353378176).

448147095552 is an abundant number, since it is smaller than the sum of its proper divisors (1086559660800).

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

448147095552 is an equidigital number, since it uses as much as digits as its factorization.

448147095552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 448147095552 in words is "four hundred forty-eight billion, one hundred forty-seven million, ninety-five thousand, five hundred fifty-two".