468441323144864 has 48 divisors (see below), whose sum is σ = 927985060779840. Its totient is φ = 232762835450880.

The previous prime is 468441323144831. The next prime is 468441323144867.

It is a happy number.

468441323144864 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×468441323144864² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 468441323144797 and 468441323144806.

It is not an unprimeable number, because it can be changed into a prime (468441323144867) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54181304 + ... + 62229384.

It is an arithmetic number, because the mean of its divisors is an integer number (19333022099580).

Almost surely, 2^{468441323144864} is an apocalyptic number.

It is an amenable number.

468441323144864 is a deficient number, since it is larger than the sum of its proper divisors (459543737634976).

468441323144864 is a wasteful number, since it uses less digits than its factorization.

468441323144864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8059413 (or 8059405 counting only the distinct ones).

The product of its digits is 169869312, while the sum is 62.

The spelling of 468441323144864 in words is "four hundred sixty-eight trillion, four hundred forty-one billion, three hundred twenty-three million, one hundred forty-four thousand, eight hundred sixty-four".