449666918784 has 384 divisors, whose sum is σ = 1408394988000. Its totient is φ = 137235824640.

The previous prime is 449666918749. The next prime is 449666918819. The reversal of 449666918784 is 487819666944.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (449666918749) and next prime (449666918819).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97815174 + ... + 97819770.

Almost surely, 2^449666918784 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 449666918784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704197494000).

449666918784 is an abundant number, since it is smaller than the sum of its proper divisors (958728069216).

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

449666918784 is a wasteful number, since it uses less digits than its factorization.

449666918784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4786 (or 4771 counting only the distinct ones).

The product of its digits is 501645312, while the sum is 72.

The spelling of 449666918784 in words is "four hundred forty-nine billion, six hundred sixty-six million, nine hundred eighteen thousand, seven hundred eighty-four".