233143827840 has 1152 divisors, whose sum is σ = 1039048508160. Its totient is φ = 46797004800.

The previous prime is 233143827793. The next prime is 233143827857. The reversal of 233143827840 is 48728341332.

233143827840 is a `hidden beast` number, since 2 + 331 + 4 + 3 + 8 + 278 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 426222447 + ... + 426222993.

It is an arithmetic number, because the mean of its divisors is an integer number (901951830).

Almost surely, 2^233143827840 is an apocalyptic number.

233143827840 is a gapful number since it is divisible by the number (20) 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 233143827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519524254080).

233143827840 is an abundant number, since it is smaller than the sum of its proper divisors (805904680320).

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

233143827840 is a wasteful number, since it uses less digits than its factorization.

233143827840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 233143827840 in words is "two hundred thirty-three billion, one hundred forty-three million, eight hundred twenty-seven thousand, eight hundred forty".