384011869248 has 224 divisors, whose sum is σ = 1302039763200. Its totient is φ = 108710719488.

The previous prime is 384011869237. The next prime is 384011869289. The reversal of 384011869248 is 842968110483.

It is a happy number.

384011869248 is a `hidden beast` number, since 38 + 401 + 1 + 86 + 92 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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 = 384011869194 and 384011869203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1172836 + ... + 1464092.

Almost surely, 2^384011869248 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 384011869248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651019881600).

384011869248 is an abundant number, since it is smaller than the sum of its proper divisors (918027893952).

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

384011869248 is a wasteful number, since it uses less digits than its factorization.

384011869248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291394 (or 291378 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 384011869248 in words is "three hundred eighty-four billion, eleven million, eight hundred sixty-nine thousand, two hundred forty-eight".