468449787944864 has 144 divisors (see below), whose sum is σ = 1048744891424160. Its totient is φ = 205576602739200.

The previous prime is 468449787944863. The next prime is 468449787944869.

468449787944864 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (468449787944863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1958519999 + ... + 1958759169.

It is an arithmetic number, because the mean of its divisors is an integer number (7282950634890).

Almost surely, 2^{468449787944864} is an apocalyptic number.

468449787944864 is a gapful number since it is divisible by the number (44) 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 468449787944864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524372445712080).

468449787944864 is an abundant number, since it is smaller than the sum of its proper divisors (580295103479296).

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

468449787944864 is a wasteful number, since it uses less digits than its factorization.

468449787944864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256675 (or 256656 counting only the distinct ones).

The product of its digits is 299649466368, while the sum is 92.

The spelling of 468449787944864 in words is "four hundred sixty-eight trillion, four hundred forty-nine billion, seven hundred eighty-seven million, nine hundred forty-four thousand, eight hundred sixty-four".