449135088192 has 672 divisors, whose sum is σ = 1567683936000. Its totient is φ = 127438811136.

The previous prime is 449135088109. The next prime is 449135088203. The reversal of 449135088192 is 291880531944.

It is a happy number.

449135088192 is a `hidden beast` number, since 4 + 49 + 1 + 3 + 508 + 8 + 1 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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, 1434936228 + ... + 1434936540.

It is an arithmetic number, because the mean of its divisors is an integer number (2332863000).

Almost surely, 2^449135088192 is an apocalyptic number.

449135088192 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449135088192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783841968000).

449135088192 is an abundant number, since it is smaller than the sum of its proper divisors (1118548847808).

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

449135088192 is an equidigital number, since it uses as much as digits as its factorization.

449135088192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 449135088192 in words is "four hundred forty-nine billion, one hundred thirty-five million, eighty-eight thousand, one hundred ninety-two".