214391232000 has 640 divisors, whose sum is σ = 864073267200. Its totient is φ = 51969024000.

The previous prime is 214391231959. The next prime is 214391232023. The reversal of 214391232000 is 232193412.

It is a happy number.

214391232000 is a `hidden beast` number, since 2 + 1 + 439 + 1 + 23 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 19002361 + ... + 19013639.

It is an arithmetic number, because the mean of its divisors is an integer number (1350114480).

Almost surely, 2^214391232000 is an apocalyptic number.

214391232000 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 214391232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432036633600).

214391232000 is an abundant number, since it is smaller than the sum of its proper divisors (649682035200).

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

214391232000 is a wasteful number, since it uses less digits than its factorization.

214391232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11332 (or 11300 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 214391232000 in words is "two hundred fourteen billion, three hundred ninety-one million, two hundred thirty-two thousand".