468321239808 has 576 divisors, whose sum is σ = 1532901888000. Its totient is φ = 140381061120.

The previous prime is 468321239803. The next prime is 468321239821. The reversal of 468321239808 is 808932123864.

468321239808 is a `hidden beast` number, since 4 + 6 + 8 + 321 + 239 + 80 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (468321239803) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 302337018 + ... + 302338566.

It is an arithmetic number, because the mean of its divisors is an integer number (2661288000).

Almost surely, 2^468321239808 is an apocalyptic number.

468321239808 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 468321239808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766450944000).

468321239808 is an abundant number, since it is smaller than the sum of its proper divisors (1064580648192).

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

468321239808 is a wasteful number, since it uses less digits than its factorization.

468321239808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1705 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 468321239808 in words is "four hundred sixty-eight billion, three hundred twenty-one million, two hundred thirty-nine thousand, eight hundred eight".