233905149072 has 240 divisors, whose sum is σ = 792984995712. Its totient is φ = 62831185920.

The previous prime is 233905149007. The next prime is 233905149097. The reversal of 233905149072 is 270941509332.

233905149072 is a `hidden beast` number, since 2 + 3 + 3 + 90 + 5 + 1 + 490 + 72 = 666.

233905149072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×233905149072² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 17077747 + ... + 17091437.

Almost surely, 2^233905149072 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 233905149072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396492497856).

233905149072 is an abundant number, since it is smaller than the sum of its proper divisors (559079846640).

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

233905149072 is a wasteful number, since it uses less digits than its factorization.

233905149072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14726 (or 14717 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 233905149072 in words is "two hundred thirty-three billion, nine hundred five million, one hundred forty-nine thousand, seventy-two".