214543341012000 has 3072 divisors, whose sum is σ = 973690847281152. Its totient is φ = 39852933120000.

The previous prime is 214543341011983. The next prime is 214543341012047. The reversal of 214543341012000 is 210143345412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 107111002999 + ... + 107111005001.

It is an arithmetic number, because the mean of its divisors is an integer number (316956656016).

Almost surely, 2^{214543341012000} is an apocalyptic number.

214543341012000 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 214543341012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486845423640576).

214543341012000 is an abundant number, since it is smaller than the sum of its proper divisors (759147506269152).

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

214543341012000 is a wasteful number, since it uses less digits than its factorization.

214543341012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 214543341012000 its reverse (210143345412), we get a palindrome (214753484357412).

The spelling of 214543341012000 in words is "two hundred fourteen trillion, five hundred forty-three billion, three hundred forty-one million, twelve thousand".