468045207168 has 1536 divisors, whose sum is σ = 1781595648000. Its totient is φ = 105982525440.

The previous prime is 468045207143. The next prime is 468045207209. The reversal of 468045207168 is 861702540864.

It is a self number, because there is not a number n which added to its sum of digits gives 468045207168.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 5258934868 + ... + 5258934956.

It is an arithmetic number, because the mean of its divisors is an integer number (1159893000).

Almost surely, 2^468045207168 is an apocalyptic number.

468045207168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468045207168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890797824000).

468045207168 is an abundant number, since it is smaller than the sum of its proper divisors (1313550440832).

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

468045207168 is a wasteful number, since it uses less digits than its factorization.

468045207168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 468045207168 in words is "four hundred sixty-eight billion, forty-five million, two hundred seven thousand, one hundred sixty-eight".