448434434844 has 48 divisors (see below), whose sum is σ = 1268299415040. Its totient is φ = 135889222320.

The previous prime is 448434434837. The next prime is 448434434849.

448434434844 is a `hidden beast` number, since 44 + 84 + 3 + 4 + 43 + 484 + 4 = 666.

448434434844 is nontrivially palindromic in base 10.

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 (448434434849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188733844 + ... + 188736219.

It is an arithmetic number, because the mean of its divisors is an integer number (26422904480).

Almost surely, 2^448434434844 is an apocalyptic number.

448434434844 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

448434434844 is an abundant number, since it is smaller than the sum of its proper divisors (819864980196).

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

448434434844 is a wasteful number, since it uses less digits than its factorization.

448434434844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377470087 (or 377470079 counting only the distinct ones).

The product of its digits is 37748736, while the sum is 54.

The spelling of 448434434844 in words is "four hundred forty-eight billion, four hundred thirty-four million, four hundred thirty-four thousand, eight hundred forty-four".