214030023311000 has 768 divisors, whose sum is σ = 584280795571200. Its totient is φ = 72895970304000.

The previous prime is 214030023310951. The next prime is 214030023311003. The reversal of 214030023311000 is 113320030412.

214030023311000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214030023311003) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 148735248281 + ... + 148735249719.

It is an arithmetic number, because the mean of its divisors is an integer number (760782285900).

Almost surely, 2^{214030023311000} is an apocalyptic number.

214030023311000 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 214030023311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292140397785600).

214030023311000 is an abundant number, since it is smaller than the sum of its proper divisors (370250772260200).

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

214030023311000 is a wasteful number, since it uses less digits than its factorization.

214030023311000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2325 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 214030023311000 its reverse (113320030412), we get a palindrome (214143343341412).

The spelling of 214030023311000 in words is "two hundred fourteen trillion, thirty billion, twenty-three million, three hundred eleven thousand".