288145651264 has 63 divisors (see below), whose sum is σ = 607556112673. Its totient is φ = 135563598848.

The previous prime is 288145651207. The next prime is 288145651351. The reversal of 288145651264 is 462156541882.

The square root of 288145651264 is 536792.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 224334849600 + 63810801664 = 473640^2 + 252608^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 73001739 + ... + 73005685.

Almost surely, 2^288145651264 is an apocalyptic number.

288145651264 is the 536792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288145651264

288145651264 is an abundant number, since it is smaller than the sum of its proper divisors (319410461409).

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

288145651264 is an frugal number, since it uses more digits than its factorization.

288145651264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7940 (or 3966 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 52.

The spelling of 288145651264 in words is "two hundred eighty-eight billion, one hundred forty-five million, six hundred fifty-one thousand, two hundred sixty-four".