214295984000 has 256 divisors, whose sum is σ = 640960819200. Its totient is φ = 69605222400.

The previous prime is 214295983999. The next prime is 214295984017. The reversal of 214295984000 is 489592412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2077649 + ... + 2178351.

It is an arithmetic number, because the mean of its divisors is an integer number (2503753200).

Almost surely, 2^214295984000 is an apocalyptic number.

214295984000 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 214295984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320480409600).

214295984000 is an abundant number, since it is smaller than the sum of its proper divisors (426664835200).

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

214295984000 is a wasteful number, since it uses less digits than its factorization.

214295984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100758 (or 100736 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The spelling of 214295984000 in words is "two hundred fourteen billion, two hundred ninety-five million, nine hundred eighty-four thousand".