450543323205120 has 160 divisors (see below), whose sum is σ = 1516137565092480. Its totient is φ = 113821471088640.

The previous prime is 450543323205083. The next prime is 450543323205121. The reversal of 450543323205120 is 21502323345054.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450543323205121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1543656586 + ... + 1543948425.

It is an arithmetic number, because the mean of its divisors is an integer number (9475859781828).

Almost surely, 2^{450543323205120} is an apocalyptic number.

450543323205120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450543323205120 is an abundant number, since it is smaller than the sum of its proper divisors (1065594241887360).

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

450543323205120 is a wasteful number, since it uses less digits than its factorization.

450543323205120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3087605056 (or 3087605040 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 39.

The spelling of 450543323205120 in words is "four hundred fifty trillion, five hundred forty-three billion, three hundred twenty-three million, two hundred five thousand, one hundred twenty".