468844200000 has 1008 divisors, whose sum is σ = 1902449360448. Its totient is φ = 113529600000.

The previous prime is 468844199987. The next prime is 468844200001. The reversal of 468844200000 is 2448864.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468844200001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 534599562 + ... + 534600438.

It is an arithmetic number, because the mean of its divisors is an integer number (1887350556).

Almost surely, 2^468844200000 is an apocalyptic number.

468844200000 is a gapful number since it is divisible by the number (40) 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 468844200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951224680224).

468844200000 is an abundant number, since it is smaller than the sum of its proper divisors (1433605160448).

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

468844200000 is an frugal number, since it uses more digits than its factorization.

468844200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

Adding to 468844200000 its reverse (2448864), we get a palindrome (468846648864).

The spelling of 468844200000 in words is "four hundred sixty-eight billion, eight hundred forty-four million, two hundred thousand".