449378648064 has 252 divisors, whose sum is σ = 1347800894496. Its totient is φ = 149761032192.

The previous prime is 449378648053. The next prime is 449378648111. The reversal of 449378648064 is 460846873944.

449378648064 is a `hidden beast` number, since 4 + 4 + 93 + 7 + 8 + 6 + 480 + 64 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 449378647992 and 449378648010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 95549137 + ... + 95553839.

It is an arithmetic number, because the mean of its divisors is an integer number (5348416248).

Almost surely, 2^449378648064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449378648064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673900447248).

449378648064 is an abundant number, since it is smaller than the sum of its proper divisors (898422246432).

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

449378648064 is an frugal number, since it uses more digits than its factorization.

449378648064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4755 (or 4708 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 449378648064 in words is "four hundred forty-nine billion, three hundred seventy-eight million, six hundred forty-eight thousand, sixty-four".