468306113000 has 128 divisors (see below), whose sum is σ = 1196770723200. Its totient is φ = 170106112000.

The previous prime is 468306112993. The next prime is 468306113039. The reversal of 468306113000 is 311603864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10196087 + ... + 10241913.

It is an arithmetic number, because the mean of its divisors is an integer number (9349771275).

Almost surely, 2^468306113000 is an apocalyptic number.

468306113000 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 468306113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598385361600).

468306113000 is an abundant number, since it is smaller than the sum of its proper divisors (728464610200).

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

468306113000 is a wasteful number, since it uses less digits than its factorization.

468306113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46788 (or 46774 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

Adding to 468306113000 its reverse (311603864), we get a palindrome (468617716864).

The spelling of 468306113000 in words is "four hundred sixty-eight billion, three hundred six million, one hundred thirteen thousand".