384513513216 has 144 divisors (see below), whose sum is σ = 1173327687168. Its totient is φ = 109507276800.

The previous prime is 384513513203. The next prime is 384513513233. The reversal of 384513513216 is 612315315483.

It is a super-2 number, since 2×384513513216² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1556946 + ... + 1786926.

Almost surely, 2^384513513216 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 384513513216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586663843584).

384513513216 is an abundant number, since it is smaller than the sum of its proper divisors (788814173952).

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

384513513216 is a wasteful number, since it uses less digits than its factorization.

384513513216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230318 (or 230304 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

Adding to 384513513216 its reverse (612315315483), we get a palindrome (996828828699).

The spelling of 384513513216 in words is "three hundred eighty-four billion, five hundred thirteen million, five hundred thirteen thousand, two hundred sixteen".