389305975957416 has 192 divisors, whose sum is σ = 1206424620910080. Its totient is φ = 111098361628800.

The previous prime is 389305975957397. The next prime is 389305975957417. The reversal of 389305975957416 is 614759579503983.

389305975957416 is a `hidden beast` number, since 3 + 8 + 9 + 3 + 0 + 5 + 9 + 7 + 595 + 7 + 4 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (389305975957417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1482221895 + ... + 1482484521.

It is an arithmetic number, because the mean of its divisors is an integer number (6283461567240).

Almost surely, 2^{389305975957416} is an apocalyptic number.

389305975957416 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 389305975957416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603212310455040).

389305975957416 is an abundant number, since it is smaller than the sum of its proper divisors (817118644952664).

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

389305975957416 is a wasteful number, since it uses less digits than its factorization.

389305975957416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266124 (or 266117 counting only the distinct ones).

The product of its (nonzero) digits is 7715736000, while the sum is 81.

The spelling of 389305975957416 in words is "three hundred eighty-nine trillion, three hundred five billion, nine hundred seventy-five million, nine hundred fifty-seven thousand, four hundred sixteen".