214220104064 has 128 divisors (see below), whose sum is σ = 473067578880. Its totient is φ = 96109404160.

The previous prime is 214220104051. The next prime is 214220104069. The reversal of 214220104064 is 460401022412.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214220104069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15558047 + ... + 15571809.

It is an arithmetic number, because the mean of its divisors is an integer number (3695840460).

Almost surely, 2^214220104064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214220104064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236533789440).

214220104064 is an abundant number, since it is smaller than the sum of its proper divisors (258847474816).

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

214220104064 is a wasteful number, since it uses less digits than its factorization.

214220104064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14128 (or 14116 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 214220104064 its reverse (460401022412), we get a palindrome (674621126476).

The spelling of 214220104064 in words is "two hundred fourteen billion, two hundred twenty million, one hundred four thousand, sixty-four".