384862484916 has 384 divisors, whose sum is σ = 1260852633600. Its totient is φ = 98802478080.

The previous prime is 384862484911. The next prime is 384862484927. The reversal of 384862484916 is 619484268483.

384862484916 is a `hidden beast` number, since 3 + 8 + 4 + 8 + 62 + 484 + 91 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384862484911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 249424041 + ... + 249425583.

It is an arithmetic number, because the mean of its divisors is an integer number (3283470400).

Almost surely, 2^384862484916 is an apocalyptic number.

384862484916 is a gapful number since it is divisible by the number (36) 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 384862484916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630426316800).

384862484916 is an abundant number, since it is smaller than the sum of its proper divisors (875990148684).

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

384862484916 is a wasteful number, since it uses less digits than its factorization.

384862484916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2236 (or 2228 counting only the distinct ones).

The product of its digits is 63700992, while the sum is 63.

The spelling of 384862484916 in words is "three hundred eighty-four billion, eight hundred sixty-two million, four hundred eighty-four thousand, nine hundred sixteen".