288234021312 has 126 divisors (see below), whose sum is σ = 871942643208. Its totient is φ = 91021204224.

The previous prime is 288234021311. The next prime is 288234021329. The reversal of 288234021312 is 213120432882.

288234021312 is a `hidden beast` number, since 28 + 82 + 340 + 213 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288234021311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 485148 + ... + 901019.

It is an arithmetic number, because the mean of its divisors is an integer number (6920179708).

Almost surely, 2^288234021312 is an apocalyptic number.

It is an amenable number.

288234021312 is an abundant number, since it is smaller than the sum of its proper divisors (583708621896).

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

288234021312 is a wasteful number, since it uses less digits than its factorization.

288234021312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386223 (or 1386191 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 288234021312 in words is "two hundred eighty-eight billion, two hundred thirty-four million, twenty-one thousand, three hundred twelve".