454433344000000 has 182 divisors, whose sum is σ = 1135930297835762. Its totient is φ = 181773312000000.

The previous prime is 454433343999997. The next prime is 454433344000073. The reversal of 454433344000000 is 443334454.

It can be written as a sum of positive squares in 7 ways, for example, as 412894597156864 + 41538746843136 = 20319808^2 + 6445056^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 454433344000000.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 60449740 + ... + 67550260.

Almost surely, 2^{454433344000000} is an apocalyptic number.

454433344000000 is a gapful number since it is divisible by the number (40) 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 454433344000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567965148917881).

454433344000000 is an abundant number, since it is smaller than the sum of its proper divisors (681496953835762).

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

454433344000000 is an frugal number, since it uses more digits than its factorization.

454433344000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7100575 (or 7100528 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 34.

Adding to 454433344000000 its reverse (443334454), we get a palindrome (454433787334454).

The spelling of 454433344000000 in words is "four hundred fifty-four trillion, four hundred thirty-three billion, three hundred forty-four million", and thus it is an aban number.