21432232314 has 64 divisors (see below), whose sum is σ = 49035868800. Its totient is φ = 6933734784.

The previous prime is 21432232307. The next prime is 21432232319. The reversal of 21432232314 is 41323223412.

21432232314 is a `hidden beast` number, since 2 + 1 + 4 + 322 + 323 + 14 = 666.

It is a super-3 number, since 3×21432232314³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21432232319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 804069 + ... + 830295.

It is an arithmetic number, because the mean of its divisors is an integer number (766185450).

Almost surely, 2^21432232314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21432232314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24517934400).

21432232314 is an abundant number, since it is smaller than the sum of its proper divisors (27603636486).

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

21432232314 is a wasteful number, since it uses less digits than its factorization.

21432232314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26684 (or 26678 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

Adding to 21432232314 its reverse (41323223412), we get a palindrome (62755455726).

The spelling of 21432232314 in words is "twenty-one billion, four hundred thirty-two million, two hundred thirty-two thousand, three hundred fourteen".