384249213504 has 448 divisors, whose sum is σ = 1355894265600. Its totient is φ = 105417179136.

The previous prime is 384249213473. The next prime is 384249213511. The reversal of 384249213504 is 405312942483.

384249213504 is a `hidden beast` number, since 3 + 8 + 42 + 4 + 92 + 13 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 384249213504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7229394 + ... + 7282350.

It is an arithmetic number, because the mean of its divisors is an integer number (3026549700).

Almost surely, 2^384249213504 is an apocalyptic number.

384249213504 is a gapful number since it is divisible by the number (34) 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 384249213504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677947132800).

384249213504 is an abundant number, since it is smaller than the sum of its proper divisors (971645052096).

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

384249213504 is a wasteful number, since it uses less digits than its factorization.

384249213504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53027 (or 53011 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 384249213504 in words is "three hundred eighty-four billion, two hundred forty-nine million, two hundred thirteen thousand, five hundred four".