450060006006 has 48 divisors (see below), whose sum is σ = 1052203435920. Its totient is φ = 138207902400.

The previous prime is 450060005999. The next prime is 450060006007. The reversal of 450060006006 is 600600060054.

450060006006 is a `hidden beast` number, since 4 + 50 + 0 + 6 + 0 + 0 + 0 + 600 + 6 = 666.

It is a super-2 number, since 2×450060006006² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450060006007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1770220 + ... + 2008431.

It is an arithmetic number, because the mean of its divisors is an integer number (21920904915).

Almost surely, 2^450060006006 is an apocalyptic number.

450060006006 is an abundant number, since it is smaller than the sum of its proper divisors (602143429914).

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

450060006006 is a wasteful number, since it uses less digits than its factorization.

450060006006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3779181 (or 3779178 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 450060006006 in words is "four hundred fifty billion, sixty million, six thousand, six".