450183936000 has 1152 divisors, whose sum is σ = 1682590553280. Its totient is φ = 106430464000.

The previous prime is 450183935987. The next prime is 450183936031. The reversal of 450183936000 is 639381054.

It is a self number, because there is not a number n which added to its sum of digits gives 450183936000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10980095980 + ... + 10980096020.

Almost surely, 2^450183936000 is an apocalyptic number.

450183936000 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 450183936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841295276640).

450183936000 is an abundant number, since it is smaller than the sum of its proper divisors (1232406617280).

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

450183936000 is a wasteful number, since it uses less digits than its factorization.

450183936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 450183936000 in words is "four hundred fifty billion, one hundred eighty-three million, nine hundred thirty-six thousand".