288794762242112 has 112 divisors (see below), whose sum is σ = 670933644810240. Its totient is φ = 120747884544000.

The previous prime is 288794762242099. The next prime is 288794762242163. The reversal of 288794762242112 is 211242267497882.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1057878689 + ... + 1058151647.

It is an arithmetic number, because the mean of its divisors is an integer number (5990478971520).

Almost surely, 2^{288794762242112} is an apocalyptic number.

It is an amenable number.

288794762242112 is an abundant number, since it is smaller than the sum of its proper divisors (382138882568128).

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

288794762242112 is a wasteful number, since it uses less digits than its factorization.

288794762242112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330620 (or 330610 counting only the distinct ones).

The product of its digits is 86704128, while the sum is 65.

The spelling of 288794762242112 in words is "two hundred eighty-eight trillion, seven hundred ninety-four billion, seven hundred sixty-two million, two hundred forty-two thousand, one hundred twelve".