450243281382048 has 960 divisors, whose sum is σ = 1691582534611200. Its totient is φ = 116460442828800.

The previous prime is 450243281382019. The next prime is 450243281382067. The reversal of 450243281382048 is 840283182342054.

450243281382048 is a `hidden beast` number, since 4 + 5 + 0 + 243 + 281 + 3 + 82 + 0 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 450243281381985 and 450243281382003.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2356791940 + ... + 2356982972.

It is an arithmetic number, because the mean of its divisors is an integer number (1762065140220).

Almost surely, 2^{450243281382048} is an apocalyptic number.

450243281382048 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 450243281382048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845791267305600).

450243281382048 is an abundant number, since it is smaller than the sum of its proper divisors (1241339253229152).

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

450243281382048 is a wasteful number, since it uses less digits than its factorization.

450243281382048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191328 (or 191297 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 450243281382048 in words is "four hundred fifty trillion, two hundred forty-three billion, two hundred eighty-one million, three hundred eighty-two thousand, forty-eight".