288861938112 has 112 divisors (see below), whose sum is σ = 834117581952. Its totient is φ = 87496442880.

The previous prime is 288861938107. The next prime is 288861938129. The reversal of 288861938112 is 211839168882.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5118883 + ... + 5175005.

Almost surely, 2^288861938112 is an apocalyptic number.

288861938112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288861938112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417058790976).

288861938112 is an abundant number, since it is smaller than the sum of its proper divisors (545255643840).

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

288861938112 is a wasteful number, since it uses less digits than its factorization.

288861938112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58586 (or 58576 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 57.

The spelling of 288861938112 in words is "two hundred eighty-eight billion, eight hundred sixty-one million, nine hundred thirty-eight thousand, one hundred twelve".