233130546468 has 192 divisors, whose sum is σ = 643582195200. Its totient is φ = 72816606720.

The previous prime is 233130546461. The next prime is 233130546499. The reversal of 233130546468 is 864645031332.

233130546468 is a `hidden beast` number, since 2 + 3 + 3 + 130 + 54 + 6 + 468 = 666.

233130546468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (233130546461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 139681938 + ... + 139683606.

It is an arithmetic number, because the mean of its divisors is an integer number (3351990600).

Almost surely, 2^233130546468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233130546468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321791097600).

233130546468 is an abundant number, since it is smaller than the sum of its proper divisors (410451648732).

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

233130546468 is a wasteful number, since it uses less digits than its factorization.

233130546468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2819 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 233130546468 in words is "two hundred thirty-three billion, one hundred thirty million, five hundred forty-six thousand, four hundred sixty-eight".