450343368000 has 448 divisors, whose sum is σ = 1660721088000. Its totient is φ = 119476684800.

The previous prime is 450343367977. The next prime is 450343368011. The reversal of 450343368000 is 863343054.

450343368000 is a `hidden beast` number, since 4 + 503 + 43 + 36 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42978762 + ... + 42989238.

Almost surely, 2^450343368000 is an apocalyptic number.

450343368000 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 450343368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830360544000).

450343368000 is an abundant number, since it is smaller than the sum of its proper divisors (1210377720000).

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

450343368000 is a wasteful number, since it uses less digits than its factorization.

450343368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10712 (or 10686 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 450343368000 in words is "four hundred fifty billion, three hundred forty-three million, three hundred sixty-eight thousand".