288216512164 has 81 divisors (see below), whose sum is σ = 606754173249. Its totient is φ = 119440167840.

The previous prime is 288216512161. The next prime is 288216512173. The reversal of 288216512164 is 461215612882.

The square root of 288216512164 is 536858.

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., 217668902500 + 70547609664 = 466550^2 + 265608^2 .

It is not an unprimeable number, because it can be changed into a prime (288216512161) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 232995754 + ... + 232996990.

Almost surely, 2^288216512164 is an apocalyptic number.

288216512164 is the 536858-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288216512164

288216512164 is an abundant number, since it is smaller than the sum of its proper divisors (318537661085).

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

288216512164 is an equidigital number, since it uses as much as digits as its factorization.

288216512164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2554 (or 1277 counting only the distinct ones).

The product of its digits is 368640, while the sum is 46.

The spelling of 288216512164 in words is "two hundred eighty-eight billion, two hundred sixteen million, five hundred twelve thousand, one hundred sixty-four".