468999825168 has 160 divisors (see below), whose sum is σ = 1400159272960. Its totient is φ = 132503040000.

The previous prime is 468999825167. The next prime is 468999825169. The reversal of 468999825168 is 861528999864.

It is an interprime number because it is at equal distance from previous prime (468999825167) and next prime (468999825169).

It is a super-3 number, since 3×468999825168³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 468999825168.

It is not an unprimeable number, because it can be changed into a prime (468999825167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41679543 + ... + 41690793.

It is an arithmetic number, because the mean of its divisors is an integer number (8750995456).

Almost surely, 2^468999825168 is an apocalyptic number.

468999825168 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 468999825168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700079636480).

468999825168 is an abundant number, since it is smaller than the sum of its proper divisors (931159447792).

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

468999825168 is a wasteful number, since it uses less digits than its factorization.

468999825168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12645 (or 12639 counting only the distinct ones).

The product of its digits is 537477120, while the sum is 75.

The spelling of 468999825168 in words is "four hundred sixty-eight billion, nine hundred ninety-nine million, eight hundred twenty-five thousand, one hundred sixty-eight".