468221645000 has 60 divisors (see below), whose sum is σ = 1097156692005. Its totient is φ = 187269304000.

The previous prime is 468221644993. The next prime is 468221645027. The reversal of 468221645000 is 546122864.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 4381645636 + 463839999364 = 66194^2 + 681058^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=483850.

It is a super-3 number, since 3×468221645000³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 48380162 + ... + 48389838.

Almost surely, 2^468221645000 is an apocalyptic number.

468221645000 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 468221645000

468221645000 is an abundant number, since it is smaller than the sum of its proper divisors (628935047005).

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

468221645000 is an frugal number, since it uses more digits than its factorization.

468221645000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19380 (or 9684 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

Adding to 468221645000 its reverse (546122864), we get a palindrome (468767767864).

The spelling of 468221645000 in words is "four hundred sixty-eight billion, two hundred twenty-one million, six hundred forty-five thousand".