449451363744 has 216 divisors, whose sum is σ = 1312848485676. Its totient is φ = 145852416000.

The previous prime is 449451363679. The next prime is 449451363749. The reversal of 449451363744 is 447363154944.

449451363744 is a `hidden beast` number, since 4 + 4 + 94 + 513 + 6 + 37 + 4 + 4 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 73451840400 + 375999523344 = 271020^2 + 613188^2 .

It is not an unprimeable number, because it can be changed into a prime (449451363749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 374230344 + ... + 374231544.

Almost surely, 2^449451363744 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 449451363744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656424242838).

449451363744 is an abundant number, since it is smaller than the sum of its proper divisors (863397121932).

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

449451363744 is a wasteful number, since it uses less digits than its factorization.

449451363744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072 (or 2020 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 54.

The spelling of 449451363744 in words is "four hundred forty-nine billion, four hundred fifty-one million, three hundred sixty-three thousand, seven hundred forty-four".