214032000000 has 1232 divisors, whose sum is σ = 895551036800. Its totient is φ = 45158400000.

The previous prime is 214031999983. The next prime is 214032000001. The reversal of 214032000000 is 230412.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 214032000000.

It is not an unprimeable number, because it can be changed into a prime (214032000001) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 16463999994 + ... + 16464000006.

Almost surely, 2^214032000000 is an apocalyptic number.

214032000000 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 214032000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447775518400).

214032000000 is an abundant number, since it is smaller than the sum of its proper divisors (681519036800).

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

214032000000 is an frugal number, since it uses more digits than its factorization.

214032000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 214032000000 its reverse (230412), we get a palindrome (214032230412).

The spelling of 214032000000 in words is "two hundred fourteen billion, thirty-two million", and thus it is an aban number.