389229942816 has 1536 divisors, whose sum is σ = 1499710464000. Its totient is φ = 97552097280.

The previous prime is 389229942809. The next prime is 389229942833. The reversal of 389229942816 is 618249922983.

389229942816 is a `hidden beast` number, since 38 + 92 + 2 + 99 + 428 + 1 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 4373370100 + ... + 4373370188.

It is an arithmetic number, because the mean of its divisors is an integer number (976374000).

Almost surely, 2^389229942816 is an apocalyptic number.

389229942816 is a gapful number since it is divisible by the number (36) 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 389229942816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749855232000).

389229942816 is an abundant number, since it is smaller than the sum of its proper divisors (1110480521184).

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

389229942816 is a wasteful number, since it uses less digits than its factorization.

389229942816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 160 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 63.

The spelling of 389229942816 in words is "three hundred eighty-nine billion, two hundred twenty-nine million, nine hundred forty-two thousand, eight hundred sixteen".