233054389872 has 240 divisors, whose sum is σ = 672952483840. Its totient is φ = 75267698688.

The previous prime is 233054389853. The next prime is 233054389873. The reversal of 233054389872 is 278983450332.

233054389872 is a `hidden beast` number, since 2 + 3 + 3 + 0 + 543 + 8 + 98 + 7 + 2 = 666.

233054389872 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 2×233054389872² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233054389873) 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 47 ways as a sum of consecutive naturals, for example, 140140113 + ... + 140141775.

Almost surely, 2^233054389872 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 233054389872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336476241920).

233054389872 is an abundant number, since it is smaller than the sum of its proper divisors (439898093968).

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

233054389872 is a wasteful number, since it uses less digits than its factorization.

233054389872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 1971 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 233054389872 in words is "two hundred thirty-three billion, fifty-four million, three hundred eighty-nine thousand, eight hundred seventy-two".