468063365184 has 336 divisors, whose sum is σ = 1420534664640. Its totient is φ = 152765429760.

The previous prime is 468063365179. The next prime is 468063365207. The reversal of 468063365184 is 481563360864.

468063365184 is a `hidden beast` number, since 4 + 68 + 0 + 63 + 3 + 6 + 518 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 468063365184.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268846554 + ... + 268848294.

It is an arithmetic number, because the mean of its divisors is an integer number (4227781740).

Almost surely, 2^468063365184 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 468063365184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710267332320).

468063365184 is an abundant number, since it is smaller than the sum of its proper divisors (952471299456).

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

468063365184 is a wasteful number, since it uses less digits than its factorization.

468063365184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120 (or 2098 counting only the distinct ones).

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

The spelling of 468063365184 in words is "four hundred sixty-eight billion, sixty-three million, three hundred sixty-five thousand, one hundred eighty-four".