468446986968 has 256 divisors, whose sum is σ = 1255586365440. Its totient is φ = 145398758400.

The previous prime is 468446986967. The next prime is 468446986979. The reversal of 468446986968 is 869689644864.

It is a junction number, because it is equal to n+sod(n) for n = 468446986893 and 468446986902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468446986961) 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 63 ways as a sum of consecutive naturals, for example, 961903221 + ... + 961903707.

It is an arithmetic number, because the mean of its divisors is an integer number (4904634240).

Almost surely, 2^468446986968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468446986968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627793182720).

468446986968 is an abundant number, since it is smaller than the sum of its proper divisors (787139378472).

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

468446986968 is a wasteful number, since it uses less digits than its factorization.

468446986968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 954 counting only the distinct ones).

The product of its digits is 3439853568, while the sum is 78.

The spelling of 468446986968 in words is "four hundred sixty-eight billion, four hundred forty-six million, nine hundred eighty-six thousand, nine hundred sixty-eight".