468603600349506 has 48 divisors (see below), whose sum is σ = 995768508090720. Its totient is φ = 146985053276160.

The previous prime is 468603600349501. The next prime is 468603600349553. The reversal of 468603600349506 is 605943006306864.

It is a super-3 number, since 3×468603600349506³ (a number of 45 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 468603600349506.

It is not an unprimeable number, because it can be changed into a prime (468603600349501) 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, 16429216 + ... + 34743723.

It is an arithmetic number, because the mean of its divisors is an integer number (20745177251890).

Almost surely, 2^{468603600349506} is an apocalyptic number.

468603600349506 is an abundant number, since it is smaller than the sum of its proper divisors (527164907741214).

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

468603600349506 is a wasteful number, since it uses less digits than its factorization.

468603600349506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51178259 (or 51178242 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 60.

The spelling of 468603600349506 in words is "four hundred sixty-eight trillion, six hundred three billion, six hundred million, three hundred forty-nine thousand, five hundred six".