468275506205 has 16 divisors (see below), whose sum is σ = 606242541744. Its totient is φ = 345182592000.

The previous prime is 468275506199. The next prime is 468275506207. The reversal of 468275506205 is 502605572864.

It can be written as a sum of positive squares in 8 ways, for example, as 75043671481 + 393231834724 = 273941^2 + 627082^2 .

It is not a de Polignac number, because 468275506205 - 2⁶ = 468275506141 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468275506207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6430796 + ... + 6503205.

It is an arithmetic number, because the mean of its divisors is an integer number (37890158859).

Almost surely, 2^468275506205 is an apocalyptic number.

It is an amenable number.

468275506205 is a deficient number, since it is larger than the sum of its proper divisors (137967035539).

468275506205 is a wasteful number, since it uses less digits than its factorization.

468275506205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12934576.

The product of its (nonzero) digits is 4032000, while the sum is 50.

The spelling of 468275506205 in words is "four hundred sixty-eight billion, two hundred seventy-five million, five hundred six thousand, two hundred five".