288845013114 has 144 divisors (see below), whose sum is σ = 759049574400. Its totient is φ = 79053081408.

The previous prime is 288845013053. The next prime is 288845013137. The reversal of 288845013114 is 411310548882.

288845013114 is a `hidden beast` number, since 2 + 8 + 88 + 450 + 1 + 3 + 114 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 288845013114.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3203947 + ... + 3292865.

It is an arithmetic number, because the mean of its divisors is an integer number (5271177600).

Almost surely, 2^288845013114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288845013114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379524787200).

288845013114 is an abundant number, since it is smaller than the sum of its proper divisors (470204561286).

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

288845013114 is a wasteful number, since it uses less digits than its factorization.

288845013114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89097 (or 89087 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 288845013114 in words is "two hundred eighty-eight billion, eight hundred forty-five million, thirteen thousand, one hundred fourteen".