448948840032 has 1440 divisors, whose sum is σ = 1836041872896. Its totient is φ = 104778178560.

The previous prime is 448948840019. The next prime is 448948840033. The reversal of 448948840032 is 230048849844.

448948840032 is a `hidden beast` number, since 4 + 48 + 94 + 88 + 400 + 32 = 666.

It is a super-2 number, since 2×448948840032² (a number of 24 digits) contains 22 as substring.

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 (448948840033) 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 239 ways as a sum of consecutive naturals, for example, 858410523 + ... + 858411045.

Almost surely, 2^448948840032 is an apocalyptic number.

448948840032 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448948840032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918020936448).

448948840032 is an abundant number, since it is smaller than the sum of its proper divisors (1387093032864).

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

448948840032 is a wasteful number, since it uses less digits than its factorization.

448948840032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 448948840032 in words is "four hundred forty-eight billion, nine hundred forty-eight million, eight hundred forty thousand, thirty-two".