233878140288 has 320 divisors, whose sum is σ = 793656753120. Its totient is φ = 67728752640.

The previous prime is 233878140263. The next prime is 233878140289. The reversal of 233878140288 is 882041878332.

233878140288 is a `hidden beast` number, since 2 + 3 + 3 + 87 + 81 + 402 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233878140289) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 2240293 + ... + 2342363.

Almost surely, 2^233878140288 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 233878140288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396828376560).

233878140288 is an abundant number, since it is smaller than the sum of its proper divisors (559778612832).

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

233878140288 is a wasteful number, since it uses less digits than its factorization.

233878140288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102127 (or 102106 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 233878140288 in words is "two hundred thirty-three billion, eight hundred seventy-eight million, one hundred forty thousand, two hundred eighty-eight".