468500720612441 has 48 divisors (see below), whose sum is σ = 539979543331200. Its totient is φ = 405404406401280.

The previous prime is 468500720612417. The next prime is 468500720612453. The reversal of 468500720612441 is 144216027005864.

It is not a de Polignac number, because 468500720612441 - 2³⁰ = 468499646870617 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 468500720612441.

It is not an unprimeable number, because it can be changed into a prime (468500720614441) 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 47 ways as a sum of consecutive naturals, for example, 642706325 + ... + 643434861.

It is an arithmetic number, because the mean of its divisors is an integer number (11249573819400).

Almost surely, 2^{468500720612441} is an apocalyptic number.

It is an amenable number.

468500720612441 is a deficient number, since it is larger than the sum of its proper divisors (71478822718759).

468500720612441 is a wasteful number, since it uses less digits than its factorization.

468500720612441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729710 (or 729699 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 50.

The spelling of 468500720612441 in words is "four hundred sixty-eight trillion, five hundred billion, seven hundred twenty million, six hundred twelve thousand, four hundred forty-one".