378833112000 has 2016 divisors, whose sum is σ = 1691920391616. Its totient is φ = 83607552000.

The previous prime is 378833111983. The next prime is 378833112001. The reversal of 378833112000 is 211338873.

378833112000 is a `hidden beast` number, since 378 + 83 + 3 + 1 + 1 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378833112001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3905495952 + ... + 3905496048.

It is an arithmetic number, because the mean of its divisors is an integer number (839246226).

Almost surely, 2^378833112000 is an apocalyptic number.

378833112000 is a gapful number since it is divisible by the number (30) 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 378833112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845960195808).

378833112000 is an abundant number, since it is smaller than the sum of its proper divisors (1313087279616).

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

378833112000 is an equidigital number, since it uses as much as digits as its factorization.

378833112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 378833112000 in words is "three hundred seventy-eight billion, eight hundred thirty-three million, one hundred twelve thousand".