384326408448 has 144 divisors (see below), whose sum is σ = 1150215541440. Its totient is φ = 126565134336.

The previous prime is 384326408443. The next prime is 384326408537. The reversal of 384326408448 is 844804623483.

384326408448 is a `hidden beast` number, since 38 + 432 + 64 + 0 + 84 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 384326408394 and 384326408403.

It is not an unprimeable number, because it can be changed into a prime (384326408443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238740 + ... + 908652.

Almost surely, 2^384326408448 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 384326408448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575107770720).

384326408448 is an abundant number, since it is smaller than the sum of its proper divisors (765889132992).

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

384326408448 is an equidigital number, since it uses as much as digits as its factorization.

384326408448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670021 (or 670001 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 54.

The spelling of 384326408448 in words is "three hundred eighty-four billion, three hundred twenty-six million, four hundred eight thousand, four hundred forty-eight".