449921790334512 has 480 divisors, whose sum is σ = 1347897858390720. Its totient is φ = 139607035084800.

The previous prime is 449921790334487. The next prime is 449921790334607. The reversal of 449921790334512 is 215433097129944.

449921790334512 is a `hidden beast` number, since 4 + 4 + 9 + 9 + 2 + 179 + 0 + 3 + 3 + 451 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 449921790334512.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 114688193383 + ... + 114688197305.

It is an arithmetic number, because the mean of its divisors is an integer number (2808120538314).

Almost surely, 2^{449921790334512} 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 449921790334512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673948929195360).

449921790334512 is an abundant number, since it is smaller than the sum of its proper divisors (897976068056208).

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

449921790334512 is a wasteful number, since it uses less digits than its factorization.

449921790334512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5261 (or 5252 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 449921790334512 in words is "four hundred forty-nine trillion, nine hundred twenty-one billion, seven hundred ninety million, three hundred thirty-four thousand, five hundred twelve".