468214306560000 has 5760 divisors, whose sum is σ = 2389380183590400. Its totient is φ = 85040824320000.

The previous prime is 468214306559999. The next prime is 468214306560001. The reversal of 468214306560000 is 65603412864.

468214306560000 is a `hidden beast` number, since 4 + 6 + 8 + 2 + 1 + 4 + 30 + 6 + 5 + 600 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (468214306559999) and next prime (468214306560001).

It is a tau number, because it is divible by the number of its divisors (5760).

It is a super-3 number, since 3×468214306560000³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468214306560001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 219098878932 + ... + 219098881068.

It is an arithmetic number, because the mean of its divisors is an integer number (414822948540).

Almost surely, 2^{468214306560000} is an apocalyptic number.

468214306560000 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 468214306560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194690091795200).

468214306560000 is an abundant number, since it is smaller than the sum of its proper divisors (1921165877030400).

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

468214306560000 is a wasteful number, since it uses less digits than its factorization.

468214306560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235 (or 2197 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

Adding to 468214306560000 its reverse (65603412864), we get a palindrome (468279909972864).

The spelling of 468214306560000 in words is "four hundred sixty-eight trillion, two hundred fourteen billion, three hundred six million, five hundred sixty thousand".