288629484831801 has 27 divisors (see below), whose sum is σ = 431783378625261. Its totient is φ = 185783544594144.

The previous prime is 288629484831763. The next prime is 288629484831811. The reversal of 288629484831801 is 108138484926882.

The square root of 288629484831801 is 16989099.

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

288629484831801 is a `hidden beast` number, since 2 + 8 + 8 + 6 + 29 + 48 + 483 + 1 + 80 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29483108127225 + 259146376704576 = 5429835^2 + 16098024^2 .

It is not a de Polignac number, because 288629484831801 - 2¹³ = 288629484823609 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 288629484831801.

It is not an unprimeable number, because it can be changed into a prime (288629484831811) 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, 1477953975 + ... + 1478149251.

Almost surely, 2^{288629484831801} is an apocalyptic number.

288629484831801 is the 16989099-th square number.

288629484831801 is the 8494550-th centered octagonal number.

It is an amenable number.

288629484831801 is a deficient number, since it is larger than the sum of its proper divisors (143153893793460).

288629484831801 is an frugal number, since it uses more digits than its factorization.

288629484831801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390618 (or 195309 counting only the distinct ones).

The product of its (nonzero) digits is 339738624, while the sum is 72.

The spelling of 288629484831801 in words is "two hundred eighty-eight trillion, six hundred twenty-nine billion, four hundred eighty-four million, eight hundred thirty-one thousand, eight hundred one".