449095332096 has 180 divisors, whose sum is σ = 1364390793612. Its totient is φ = 146873585664.

The previous prime is 449095332089. The next prime is 449095332121. The reversal of 449095332096 is 690233590944.

449095332096 is a `hidden beast` number, since 449 + 0 + 95 + 3 + 3 + 20 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 361441440000 + 87653892096 = 601200^2 + 296064^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 894690 + ... + 1303326.

Almost surely, 2^449095332096 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 449095332096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682195396806).

449095332096 is an abundant number, since it is smaller than the sum of its proper divisors (915295461516).

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

449095332096 is an equidigital number, since it uses as much as digits as its factorization.

449095332096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408718 (or 408695 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 449095332096 in words is "four hundred forty-nine billion, ninety-five million, three hundred thirty-two thousand, ninety-six".