384969897971208 has 384 divisors, whose sum is σ = 1241896166784000. Its totient is φ = 110492942296320.

The previous prime is 384969897971207. The next prime is 384969897971209. The reversal of 384969897971208 is 802179798969483.

It is a happy number.

384969897971208 is a `hidden beast` number, since 3 + 8 + 496 + 9 + 8 + 9 + 7 + 97 + 1 + 20 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (384969897971207) and next prime (384969897971209).

It is not an unprimeable number, because it can be changed into a prime (384969897971203) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1855450098 + ... + 1855657566.

It is an arithmetic number, because the mean of its divisors is an integer number (3234104601000).

Almost surely, 2^{384969897971208} is an apocalyptic number.

384969897971208 is a gapful number since it is divisible by the number (38) 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 384969897971208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620948083392000).

384969897971208 is an abundant number, since it is smaller than the sum of its proper divisors (856926268812792).

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

384969897971208 is a wasteful number, since it uses less digits than its factorization.

384969897971208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212087 (or 212071 counting only the distinct ones).

The product of its (nonzero) digits is 23702740992, while the sum is 90.

The spelling of 384969897971208 in words is "three hundred eighty-four trillion, nine hundred sixty-nine billion, eight hundred ninety-seven million, nine hundred seventy-one thousand, two hundred eight".