449842355424576 has 224 divisors, whose sum is σ = 1352867858038400. Its totient is φ = 146536552673280.

The previous prime is 449842355424569. The next prime is 449842355424587. The reversal of 449842355424576 is 675424553248944.

449842355424576 is a `hidden beast` number, since 4 + 4 + 9 + 8 + 4 + 2 + 3 + 5 + 5 + 42 + 4 + 576 = 666.

It is a super-2 number, since 2×449842355424576² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2608570 + ... + 30107961.

Almost surely, 2^{449842355424576} 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 449842355424576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676433929019200).

449842355424576 is an abundant number, since it is smaller than the sum of its proper divisors (903025502613824).

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

449842355424576 is a wasteful number, since it uses less digits than its factorization.

449842355424576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32716734 (or 32716718 counting only the distinct ones).

The product of its digits is 4644864000, while the sum is 72.

The spelling of 449842355424576 in words is "four hundred forty-nine trillion, eight hundred forty-two billion, three hundred fifty-five million, four hundred twenty-four thousand, five hundred seventy-six".