449036780467968 has 2304 divisors, whose sum is σ = 1821963386880000. Its totient is φ = 105485677608960.

The previous prime is 449036780467967. The next prime is 449036780468009. The reversal of 449036780467968 is 869764087630944.

449036780467968 is a `hidden beast` number, since 4 + 4 + 9 + 0 + 3 + 67 + 8 + 0 + 467 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449036780467967) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 143968187113 + ... + 143968190231.

It is an arithmetic number, because the mean of its divisors is an integer number (790782720000).

Almost surely, 2^{449036780467968} is an apocalyptic number.

449036780467968 is a gapful number since it is divisible by the number (48) 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 449036780467968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910981693440000).

449036780467968 is an abundant number, since it is smaller than the sum of its proper divisors (1372926606412032).

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

449036780467968 is a wasteful number, since it uses less digits than its factorization.

449036780467968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3823 (or 3803 counting only the distinct ones).

The product of its (nonzero) digits is 10534551552, while the sum is 81.

The spelling of 449036780467968 in words is "four hundred forty-nine trillion, thirty-six billion, seven hundred eighty million, four hundred sixty-seven thousand, nine hundred sixty-eight".