450683068500 has 960 divisors, whose sum is σ = 1826592768000. Its totient is φ = 94408416000.

The previous prime is 450683068487. The next prime is 450683068553. The reversal of 450683068500 is 5860386054.

450683068500 is a `hidden beast` number, since 4 + 5 + 0 + 6 + 83 + 0 + 68 + 500 = 666.

450683068500 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 166980151 + ... + 166982849.

It is an arithmetic number, because the mean of its divisors is an integer number (1902700800).

Almost surely, 2^450683068500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450683068500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913296384000).

450683068500 is an abundant number, since it is smaller than the sum of its proper divisors (1375909699500).

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

450683068500 is a wasteful number, since it uses less digits than its factorization.

450683068500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2787 (or 2766 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 450683068500 in words is "four hundred fifty billion, six hundred eighty-three million, sixty-eight thousand, five hundred".