214244352000 has 1568 divisors, whose sum is σ = 938593341504. Its totient is φ = 47775744000.

The previous prime is 214244351957. The next prime is 214244352011. The reversal of 214244352000 is 253442412.

214244352000 is a `hidden beast` number, since 2 + 1 + 4 + 24 + 435 + 200 + 0 = 666.

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 polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5225471980 + ... + 5225472020.

Almost surely, 2^214244352000 is an apocalyptic number.

214244352000 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 214244352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469296670752).

214244352000 is an abundant number, since it is smaller than the sum of its proper divisors (724348989504).

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

214244352000 is an frugal number, since it uses more digits than its factorization.

214244352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 214244352000 its reverse (253442412), we get a palindrome (214497794412).

The spelling of 214244352000 in words is "two hundred fourteen billion, two hundred forty-four million, three hundred fifty-two thousand".