449749907712 has 216 divisors, whose sum is σ = 1493664413696. Its totient is φ = 127487582208.

The previous prime is 449749907689. The next prime is 449749907723. The reversal of 449749907712 is 217709947944.

449749907712 is a `hidden beast` number, since 4 + 497 + 49 + 90 + 7 + 7 + 12 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 449749907712.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1938468 + ... + 2158044.

Almost surely, 2^449749907712 is an apocalyptic number.

449749907712 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449749907712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746832206848).

449749907712 is an abundant number, since it is smaller than the sum of its proper divisors (1043914505984).

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

449749907712 is a wasteful number, since it uses less digits than its factorization.

449749907712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219733 (or 219716 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 449749907712 in words is "four hundred forty-nine billion, seven hundred forty-nine million, nine hundred seven thousand, seven hundred twelve".