214918792200 has 540 divisors, whose sum is σ = 845806443885. Its totient is φ = 48904007040.

The previous prime is 214918792141. The next prime is 214918792213. The reversal of 214918792200 is 2297819412.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 210620416356 + 4298375844 = 458934^2 + 65562^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=327810.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 963761289 + ... + 963761511.

Almost surely, 2^214918792200 is an apocalyptic number.

214918792200 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 214918792200

214918792200 is an abundant number, since it is smaller than the sum of its proper divisors (630887651685).

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

214918792200 is an equidigital number, since it uses as much as digits as its factorization.

214918792200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 214918792200 in words is "two hundred fourteen billion, nine hundred eighteen million, seven hundred ninety-two thousand, two hundred".