468956221344 has 576 divisors, whose sum is σ = 1526306955264. Its totient is φ = 135499972608.

The previous prime is 468956221337. The next prime is 468956221373. The reversal of 468956221344 is 443122659864.

468956221344 is a `hidden beast` number, since 4 + 6 + 8 + 9 + 5 + 622 + 1 + 3 + 4 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1498262532 + ... + 1498262844.

It is an arithmetic number, because the mean of its divisors is an integer number (2649838464).

Almost surely, 2^468956221344 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 468956221344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763153477632).

468956221344 is an abundant number, since it is smaller than the sum of its proper divisors (1057350733920).

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

468956221344 is a wasteful number, since it uses less digits than its factorization.

468956221344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 618 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 468956221344 in words is "four hundred sixty-eight billion, nine hundred fifty-six million, two hundred twenty-one thousand, three hundred forty-four".