480150608286006 has 48 divisors (see below), whose sum is σ = 1189232453919744. Its totient is φ = 137152646865072.

The previous prime is 480150608286001. The next prime is 480150608286053. The reversal of 480150608286006 is 600682806051084.

480150608286006 is a `hidden beast` number, since 4 + 8 + 0 + 1 + 5 + 0 + 6 + 0 + 8 + 28 + 600 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480150608286001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 461161500 + ... + 462201503.

It is an arithmetic number, because the mean of its divisors is an integer number (24775676123328).

Almost surely, 2^{480150608286006} is an apocalyptic number.

480150608286006 is an abundant number, since it is smaller than the sum of its proper divisors (709081845633738).

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

480150608286006 is a wasteful number, since it uses less digits than its factorization.

480150608286006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923367145 (or 923367142 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 480150608286006 in words is "four hundred eighty trillion, one hundred fifty billion, six hundred eight million, two hundred eighty-six thousand, six".