468184320000 has 1920 divisors, whose sum is σ = 1964971008000. Its totient is φ = 109486080000.

The previous prime is 468184319959. The next prime is 468184320001. The reversal of 468184320000 is 23481864.

It is a tau number, because it is divible by the number of its divisors (1920).

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 (468184320001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15102719985 + ... + 15102720015.

It is an arithmetic number, because the mean of its divisors is an integer number (1023422400).

Almost surely, 2^468184320000 is an apocalyptic number.

468184320000 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 468184320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982485504000).

468184320000 is an abundant number, since it is smaller than the sum of its proper divisors (1496786688000).

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

468184320000 is a wasteful number, since it uses less digits than its factorization.

468184320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 468184320000 in words is "four hundred sixty-eight billion, one hundred eighty-four million, three hundred twenty thousand".