221434014006 has 16 divisors (see below), whose sum is σ = 492075586800. Its totient is φ = 73811337984.

The previous prime is 221434014001. The next prime is 221434014149. The reversal of 221434014006 is 600410434122.

It is a happy number.

221434014006 is a `hidden beast` number, since 2 + 214 + 3 + 40 + 1 + 400 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221434014001) 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 7 ways as a sum of consecutive naturals, for example, 2050314891 + ... + 2050314998.

It is an arithmetic number, because the mean of its divisors is an integer number (30754724175).

Almost surely, 2^221434014006 is an apocalyptic number.

221434014006 is an abundant number, since it is smaller than the sum of its proper divisors (270641572794).

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

221434014006 is a wasteful number, since it uses less digits than its factorization.

221434014006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4100629900 (or 4100629894 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 221434014006 its reverse (600410434122), we get a palindrome (821844448128).

The spelling of 221434014006 in words is "two hundred twenty-one billion, four hundred thirty-four million, fourteen thousand, six".