384625571616 has 576 divisors, whose sum is σ = 1306371096576. Its totient is φ = 105815808000.

The previous prime is 384625571543. The next prime is 384625571633. The reversal of 384625571616 is 616175526483.

It is a happy number.

384625571616 is a `hidden beast` number, since 3 + 8 + 4 + 6 + 2 + 5 + 571 + 61 + 6 = 666.

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 95 ways as a sum of consecutive naturals, for example, 789785325 + ... + 789785811.

It is an arithmetic number, because the mean of its divisors is an integer number (2268005376).

Almost surely, 2^384625571616 is an apocalyptic number.

384625571616 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 384625571616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653185548288).

384625571616 is an abundant number, since it is smaller than the sum of its proper divisors (921745524960).

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

384625571616 is a wasteful number, since it uses less digits than its factorization.

384625571616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 794 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 384625571616 in words is "three hundred eighty-four billion, six hundred twenty-five million, five hundred seventy-one thousand, six hundred sixteen".