930089638368 has 288 divisors, whose sum is σ = 3011360526720. Its totient is φ = 280046108160.

The previous prime is 930089638339. The next prime is 930089638369. The reversal of 930089638368 is 863836980039.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (930089638369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13394523 + ... + 13463781.

It is an arithmetic number, because the mean of its divisors is an integer number (10456112940).

Almost surely, 2^930089638368 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 930089638368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505680263360).

930089638368 is an abundant number, since it is smaller than the sum of its proper divisors (2081270888352).

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

930089638368 is a wasteful number, since it uses less digits than its factorization.

930089638368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69452 (or 69432 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 930089638368 in words is "nine hundred thirty billion, eighty-nine million, six hundred thirty-eight thousand, three hundred sixty-eight".