468464206848 has 352 divisors, whose sum is σ = 1411314597888. Its totient is φ = 136868659200.

The previous prime is 468464206841. The next prime is 468464206883. The reversal of 468464206848 is 848602464864.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (352).

It is a junction number, because it is equal to n+sod(n) for n = 468464206791 and 468464206800.

It is not an unprimeable number, because it can be changed into a prime (468464206841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 353024361 + ... + 353025687.

Almost surely, 2^468464206848 is an apocalyptic number.

468464206848 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 468464206848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705657298944).

468464206848 is an abundant number, since it is smaller than the sum of its proper divisors (942850391040).

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

468464206848 is a wasteful number, since it uses less digits than its factorization.

468464206848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 56623104, while the sum is 60.

The spelling of 468464206848 in words is "four hundred sixty-eight billion, four hundred sixty-four million, two hundred six thousand, eight hundred forty-eight".