468300438144 has 256 divisors, whose sum is σ = 1723184409600. Its totient is φ = 121636408320.

The previous prime is 468300438121. The next prime is 468300438161. The reversal of 468300438144 is 441834003864.

468300438144 is a `hidden beast` number, since 46 + 8 + 30 + 0 + 438 + 144 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 468300438144.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 613782 + ... + 1146005.

It is an arithmetic number, because the mean of its divisors is an integer number (6731189100).

Almost surely, 2^468300438144 is an apocalyptic number.

468300438144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

468300438144 is an abundant number, since it is smaller than the sum of its proper divisors (1254883971456).

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

468300438144 is a wasteful number, since it uses less digits than its factorization.

468300438144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759828 (or 1759810 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 468300438144 in words is "four hundred sixty-eight billion, three hundred million, four hundred thirty-eight thousand, one hundred forty-four".