468238812912 has 320 divisors, whose sum is σ = 1525127385600. Its totient is φ = 136352471040.

The previous prime is 468238812863. The next prime is 468238812913. The reversal of 468238812912 is 219218832864.

468238812912 is a `hidden beast` number, since 46 + 8 + 238 + 81 + 291 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468238812913) 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, 158027143 + ... + 158030105.

It is an arithmetic number, because the mean of its divisors is an integer number (4766023080).

Almost surely, 2^468238812912 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 468238812912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762563692800).

468238812912 is an abundant number, since it is smaller than the sum of its proper divisors (1056888572688).

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

468238812912 is a wasteful number, since it uses less digits than its factorization.

468238812912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4493 (or 4481 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 468238812912 in words is "four hundred sixty-eight billion, two hundred thirty-eight million, eight hundred twelve thousand, nine hundred twelve".