288136807515649 has 7 divisors (see below), whose sum is σ = 289262341920007. Its totient is φ = 287015652622592.

The previous prime is 288136807515569. The next prime is 288136807515701. The reversal of 288136807515649 is 946515708631882.

The square root of 288136807515649 is 16974593.

The cubic root of 288136807515649 is 66049.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 249577277940225 + 38559529575424 = 15798015^2 + 6209632^2 .

It is not a de Polignac number, because 288136807515649 - 2⁷ = 288136807515521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (288136807518649) by changing a digit.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 1121154892929 + ... + 1121154893185.

It is a 1-persistent number, because it is pandigital, but 2⋅288136807515649 = 576273615031298 is not.

Almost surely, 2^{288136807515649} is an apocalyptic number.

288136807515649 is the 16974593-rd square number.

288136807515649 is the 8487297-th centered octagonal number.

It is an amenable number.

288136807515649 is a deficient number, since it is larger than the sum of its proper divisors (1125534404358).

288136807515649 is an frugal number, since it uses more digits than its factorization.

288136807515649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 73.

The spelling of 288136807515649 in words is "two hundred eighty-eight trillion, one hundred thirty-six billion, eight hundred seven million, five hundred fifteen thousand, six hundred forty-nine".