288366852004 has 135 divisors (see below), whose sum is σ = 647775197265. Its totient is φ = 111996302880.

The previous prime is 288366852001. The next prime is 288366852061. The reversal of 288366852004 is 400258663882.

The square root of 288366852004 is 536998.

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., 16141702500 + 272225149504 = 127050^2 + 521752^2 .

It is not an unprimeable number, because it can be changed into a prime (288366852001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 909674454 + ... + 909674770.

Almost surely, 2^288366852004 is an apocalyptic number.

288366852004 is the 536998-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288366852004

288366852004 is an abundant number, since it is smaller than the sum of its proper divisors (359408345261).

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

288366852004 is an frugal number, since it uses more digits than its factorization.

288366852004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 52.

The spelling of 288366852004 in words is "two hundred eighty-eight billion, three hundred sixty-six million, eight hundred fifty-two thousand, four".