449635913250048 has 3240 divisors, whose sum is σ = 1701092263396680. Its totient is φ = 117711072460800.

The previous prime is 449635913250023. The next prime is 449635913250061. The reversal of 449635913250048 is 840052319536944.

It is a happy number.

449635913250048 is a `hidden beast` number, since 4 + 4 + 9 + 6 + 3 + 5 + 91 + 32 + 500 + 4 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 342280784692224 + 107355128557824 = 18500832^2 + 10361232^2 .

It is a super-2 number, since 2×449635913250048² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

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 359 ways as a sum of consecutive naturals, for example, 1963475603598 + ... + 1963475603826.

It is an arithmetic number, because the mean of its divisors is an integer number (525028476357).

Almost surely, 2^{449635913250048} is an apocalyptic number.

449635913250048 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 449635913250048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850546131698340).

449635913250048 is an abundant number, since it is smaller than the sum of its proper divisors (1251456350146632).

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

449635913250048 is a wasteful number, since it uses less digits than its factorization.

449635913250048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 449635913250048 in words is "four hundred forty-nine trillion, six hundred thirty-five billion, nine hundred thirteen million, two hundred fifty thousand, forty-eight".