288272234048256 has 216 divisors, whose sum is σ = 843624996002880. Its totient is φ = 94655270780928.

The previous prime is 288272234048221. The next prime is 288272234048263. The reversal of 288272234048256 is 652840432272882.

288272234048256 is a `hidden beast` number, since 2 + 8 + 8 + 2 + 72 + 2 + 34 + 0 + 482 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 288272234048193 and 288272234048202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76984090 + ... + 80641766.

Almost surely, 2^{288272234048256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288272234048256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421812498001440).

288272234048256 is an abundant number, since it is smaller than the sum of its proper divisors (555352761954624).

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

288272234048256 is a wasteful number, since it uses less digits than its factorization.

288272234048256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3658211 (or 3658194 counting only the distinct ones).

The product of its (nonzero) digits is 165150720, while the sum is 63.

The spelling of 288272234048256 in words is "two hundred eighty-eight trillion, two hundred seventy-two billion, two hundred thirty-four million, forty-eight thousand, two hundred fifty-six".