389385517248 has 896 divisors, whose sum is σ = 1502281984000. Its totient is φ = 97229611008.

The previous prime is 389385517243. The next prime is 389385517289. The reversal of 389385517248 is 842715583983.

389385517248 is a `hidden beast` number, since 3 + 8 + 9 + 3 + 8 + 551 + 72 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (389385517243) 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 127 ways as a sum of consecutive naturals, for example, 242003868 + ... + 242005476.

It is an arithmetic number, because the mean of its divisors is an integer number (1676654000).

Almost surely, 2^389385517248 is an apocalyptic number.

389385517248 is a gapful number since it is divisible by the number (38) 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 389385517248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751140992000).

389385517248 is an abundant number, since it is smaller than the sum of its proper divisors (1112896466752).

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

389385517248 is a wasteful number, since it uses less digits than its factorization.

389385517248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1653 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

The spelling of 389385517248 in words is "three hundred eighty-nine billion, three hundred eighty-five million, five hundred seventeen thousand, two hundred forty-eight".