449941556064 has 576 divisors, whose sum is σ = 1666271803392. Its totient is φ = 104393318400.

The previous prime is 449941556047. The next prime is 449941556087. The reversal of 449941556064 is 460655149944.

It is a junction number, because it is equal to n+sod(n) for n = 449941555995 and 449941556013.

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 95 ways as a sum of consecutive naturals, for example, 20842044 + ... + 20863620.

It is an arithmetic number, because the mean of its divisors is an integer number (2892832992).

Almost surely, 2^449941556064 is an apocalyptic number.

449941556064 is a gapful number since it is divisible by the number (44) 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 449941556064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833135901696).

449941556064 is an abundant number, since it is smaller than the sum of its proper divisors (1216330247328).

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

449941556064 is a wasteful number, since it uses less digits than its factorization.

449941556064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21659 (or 21644 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 57.

The spelling of 449941556064 in words is "four hundred forty-nine billion, nine hundred forty-one million, five hundred fifty-six thousand, sixty-four".