214083072000 has 624 divisors, whose sum is σ = 882129024192. Its totient is φ = 48925900800.

The previous prime is 214083071989. The next prime is 214083072031. The reversal of 214083072000 is 270380412.

214083072000 is a `hidden beast` number, since 21 + 408 + 30 + 7 + 200 + 0 = 666.

214083072000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32252682 + ... + 32259318.

It is an arithmetic number, because the mean of its divisors is an integer number (1413668308).

Almost surely, 2^214083072000 is an apocalyptic number.

214083072000 is a gapful number since it is divisible by the number (20) 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 214083072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441064512096).

214083072000 is an abundant number, since it is smaller than the sum of its proper divisors (668045952192).

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

214083072000 is an equidigital number, since it uses as much as digits as its factorization.

214083072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6689 (or 6654 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 214083072000 in words is "two hundred fourteen billion, eighty-three million, seventy-two thousand".