449092468371456 has 1092 divisors, whose sum is σ = 1686827535190392. Its totient is φ = 118441468035072.

The previous prime is 449092468371451. The next prime is 449092468371551. The reversal of 449092468371456 is 654173864290944.

449092468371456 is a `hidden beast` number, since 4 + 4 + 9 + 0 + 9 + 24 + 6 + 83 + 71 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (1092).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449092468371451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1901953755 + ... + 1902189861.

It is a 1-persistent number, because it is pandigital, but 2⋅449092468371456 = 898184936742912 is not.

Almost surely, 2^{449092468371456} 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 449092468371456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843413767595196).

449092468371456 is an abundant number, since it is smaller than the sum of its proper divisors (1237735066818936).

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

449092468371456 is an equidigital number, since it uses as much as digits as its factorization.

449092468371456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236176 (or 236132 counting only the distinct ones).

The product of its (nonzero) digits is 1254113280, while the sum is 72.

The spelling of 449092468371456 in words is "four hundred forty-nine trillion, ninety-two billion, four hundred sixty-eight million, three hundred seventy-one thousand, four hundred fifty-six".