449105731776 has 672 divisors, whose sum is σ = 1491363357120. Its totient is φ = 128198246400.

The previous prime is 449105731771. The next prime is 449105731783. The reversal of 449105731776 is 677137501944.

449105731776 is a `hidden beast` number, since 4 + 49 + 10 + 573 + 17 + 7 + 6 = 666.

It is a super-2 number, since 2×449105731776² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (449105731771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 649935591 + ... + 649936281.

It is an arithmetic number, because the mean of its divisors is an integer number (2219290710).

Almost surely, 2^449105731776 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 449105731776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745681678560).

449105731776 is an abundant number, since it is smaller than the sum of its proper divisors (1042257625344).

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

449105731776 is a wasteful number, since it uses less digits than its factorization.

449105731776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 449105731776 in words is "four hundred forty-nine billion, one hundred five million, seven hundred thirty-one thousand, seven hundred seventy-six".