454241144448 has 576 divisors, whose sum is σ = 1681963745280. Its totient is φ = 114577182720.

The previous prime is 454241144377. The next prime is 454241144501. The reversal of 454241144448 is 844441142454.

454241144448 is a `hidden beast` number, since 45 + 4 + 24 + 1 + 144 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55452033 + ... + 55460223.

Almost surely, 2^454241144448 is an apocalyptic number.

454241144448 is a gapful number since it is divisible by the number (48) 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 454241144448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840981872640).

454241144448 is an abundant number, since it is smaller than the sum of its proper divisors (1227722600832).

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

454241144448 is a wasteful number, since it uses less digits than its factorization.

454241144448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8277 (or 8239 counting only the distinct ones).

The product of its digits is 1310720, while the sum is 45.

The spelling of 454241144448 in words is "four hundred fifty-four billion, two hundred forty-one million, one hundred forty-four thousand, four hundred forty-eight".