384765348887568 has 240 divisors, whose sum is σ = 1194124576349952. Its totient is φ = 114668123904000.

The previous prime is 384765348887537. The next prime is 384765348887587. The reversal of 384765348887568 is 865788843567483.

384765348887568 is a `hidden beast` number, since 3 + 8 + 4 + 7 + 6 + 5 + 34 + 8 + 8 + 8 + 7 + 568 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 699959388 + ... + 700508868.

Almost surely, 2^{384765348887568} 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 384765348887568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597062288174976).

384765348887568 is an abundant number, since it is smaller than the sum of its proper divisors (809359227462384).

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

384765348887568 is a wasteful number, since it uses less digits than its factorization.

384765348887568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556814 (or 556805 counting only the distinct ones).

The product of its digits is 208089907200, while the sum is 90.

The spelling of 384765348887568 in words is "three hundred eighty-four trillion, seven hundred sixty-five billion, three hundred forty-eight million, eight hundred eighty-seven thousand, five hundred sixty-eight".