214856225000 has 192 divisors, whose sum is σ = 539684208000. Its totient is φ = 79976160000.

The previous prime is 214856224997. The next prime is 214856225093. The reversal of 214856225000 is 522658412.

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 47 ways as a sum of consecutive naturals, for example, 21269951 + ... + 21280049.

It is an arithmetic number, because the mean of its divisors is an integer number (2810855250).

Almost surely, 2^214856225000 is an apocalyptic number.

214856225000 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 214856225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269842104000).

214856225000 is an abundant number, since it is smaller than the sum of its proper divisors (324827983000).

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

214856225000 is a wasteful number, since it uses less digits than its factorization.

214856225000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10190 (or 10166 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The spelling of 214856225000 in words is "two hundred fourteen billion, eight hundred fifty-six million, two hundred twenty-five thousand".