378585643104 has 288 divisors, whose sum is σ = 1162552233024. Its totient is φ = 116438630400.

The previous prime is 378585643081. The next prime is 378585643123. The reversal of 378585643104 is 401346585873.

378585643104 is a `hidden beast` number, since 3 + 7 + 8 + 585 + 6 + 43 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 50929372 + ... + 50936804.

It is an arithmetic number, because the mean of its divisors is an integer number (4036639698).

Almost surely, 2^378585643104 is an apocalyptic number.

378585643104 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 378585643104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581276116512).

378585643104 is an abundant number, since it is smaller than the sum of its proper divisors (783966589920).

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

378585643104 is a wasteful number, since it uses less digits than its factorization.

378585643104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7670 (or 7659 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 378585643104 in words is "three hundred seventy-eight billion, five hundred eighty-five million, six hundred forty-three thousand, one hundred four".