449807855616 has 832 divisors, whose sum is σ = 1636207948800. Its totient is φ = 119248257024.

The previous prime is 449807855611. The next prime is 449807855683. The reversal of 449807855616 is 616558708944.

449807855616 is a `hidden beast` number, since 4 + 4 + 9 + 8 + 0 + 7 + 8 + 5 + 5 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (449807855611) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 779562720 + ... + 779563296.

Almost surely, 2^449807855616 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 449807855616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818103974400).

449807855616 is an abundant number, since it is smaller than the sum of its proper divisors (1186400093184).

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

449807855616 is a wasteful number, since it uses less digits than its factorization.

449807855616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 449807855616 in words is "four hundred forty-nine billion, eight hundred seven million, eight hundred fifty-five thousand, six hundred sixteen".