288324845568 has 384 divisors, whose sum is σ = 912680496000. Its totient is φ = 89690996736.

The previous prime is 288324845491. The next prime is 288324845579. The reversal of 288324845568 is 865548423882.

It is a happy number.

288324845568 is a `hidden beast` number, since 2 + 8 + 8 + 3 + 24 + 8 + 45 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×288324845568² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4303355871 + ... + 4303355937.

It is an arithmetic number, because the mean of its divisors is an integer number (2376772125).

Almost surely, 2^288324845568 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 288324845568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456340248000).

288324845568 is an abundant number, since it is smaller than the sum of its proper divisors (624355650432).

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

288324845568 is an frugal number, since it uses more digits than its factorization.

288324845568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 91 counting only the distinct ones).

The product of its digits is 117964800, while the sum is 63.

The spelling of 288324845568 in words is "two hundred eighty-eight billion, three hundred twenty-four million, eight hundred forty-five thousand, five hundred sixty-eight".