214202410016 has 24 divisors (see below), whose sum is σ = 481955423040. Its totient is φ = 91801032768.

The previous prime is 214202410013. The next prime is 214202410021. The reversal of 214202410016 is 610014202412.

214202410016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 214202409973 and 214202410000.

It is not an unprimeable number, because it can be changed into a prime (214202410013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 478130156 + ... + 478130603.

It is an arithmetic number, because the mean of its divisors is an integer number (20081475960).

Almost surely, 2^214202410016 is an apocalyptic number.

It is an amenable number.

214202410016 is an abundant number, since it is smaller than the sum of its proper divisors (267753013024).

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

214202410016 is an equidigital number, since it uses as much as digits as its factorization.

214202410016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956260776 (or 956260768 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 214202410016 its reverse (610014202412), we get a palindrome (824216612428).

The spelling of 214202410016 in words is "two hundred fourteen billion, two hundred two million, four hundred ten thousand, sixteen".