449911853733888 has 4608 divisors, whose sum is σ = 1816940885760000. Its totient is φ = 108664974213120.

The previous prime is 449911853733871. The next prime is 449911853733917. The reversal of 449911853733888 is 888337358119944.

449911853733888 is a `hidden beast` number, since 4 + 4 + 9 + 9 + 118 + 53 + 73 + 388 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a super-2 number, since 2×449911853733888² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4127631685578 + ... + 4127631685686.

It is an arithmetic number, because the mean of its divisors is an integer number (394301407500).

Almost surely, 2^{449911853733888} is an apocalyptic number.

449911853733888 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 449911853733888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908470442880000).

449911853733888 is an abundant number, since it is smaller than the sum of its proper divisors (1367029032026112).

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

449911853733888 is a wasteful number, since it uses less digits than its factorization.

449911853733888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 194 counting only the distinct ones).

The product of its digits is 5016453120, while the sum is 81.

The spelling of 449911853733888 in words is "four hundred forty-nine trillion, nine hundred eleven billion, eight hundred fifty-three million, seven hundred thirty-three thousand, eight hundred eighty-eight".