384995696596992 has 3456 divisors, whose sum is σ = 1402257530419200. Its totient is φ = 100823891705856.

The previous prime is 384995696596963. The next prime is 384995696597003. The reversal of 384995696596992 is 299695696599483.

384995696596992 is a `hidden beast` number, since 3 + 8 + 499 + 56 + 9 + 6 + 59 + 6 + 9 + 9 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 384995696596893 and 384995696596902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2769753212859 + ... + 2769753212997.

It is an arithmetic number, because the mean of its divisors is an integer number (405745813200).

Almost surely, 2^{384995696596992} is an apocalyptic number.

384995696596992 is a gapful number since it is divisible by the number (32) 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 384995696596992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701128765209600).

384995696596992 is an abundant number, since it is smaller than the sum of its proper divisors (1017261833822208).

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

384995696596992 is a wasteful number, since it uses less digits than its factorization.

384995696596992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 281 counting only the distinct ones).

The product of its digits is 550998028800, while the sum is 99.

The spelling of 384995696596992 in words is "three hundred eighty-four trillion, nine hundred ninety-five billion, six hundred ninety-six million, five hundred ninety-six thousand, nine hundred ninety-two".