214504332000 has 384 divisors, whose sum is σ = 804115952640. Its totient is φ = 48967833600.

The previous prime is 214504331927. The next prime is 214504332037. The reversal of 214504332000 is 233405412.

214504332000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120035107 + ... + 120036893.

It is an arithmetic number, because the mean of its divisors is an integer number (2094051960).

Almost surely, 2^214504332000 is an apocalyptic number.

214504332000 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 214504332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402057976320).

214504332000 is an abundant number, since it is smaller than the sum of its proper divisors (589611620640).

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

214504332000 is a wasteful number, since it uses less digits than its factorization.

214504332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3251 (or 3233 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 214504332000 its reverse (233405412), we get a palindrome (214737737412).

The spelling of 214504332000 in words is "two hundred fourteen billion, five hundred four million, three hundred thirty-two thousand".