214430415156 has 144 divisors (see below), whose sum is σ = 592543311360. Its totient is φ = 67617491040.

The previous prime is 214430415149. The next prime is 214430415169. The reversal of 214430415156 is 651514034412.

214430415156 is a `hidden beast` number, since 21 + 4 + 430 + 4 + 151 + 56 = 666.

214430415156 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 214430415156.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 13418251 + ... + 13434221.

Almost surely, 2^214430415156 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 214430415156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296271655680).

214430415156 is an abundant number, since it is smaller than the sum of its proper divisors (378112896204).

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

214430415156 is a wasteful number, since it uses less digits than its factorization.

214430415156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16736 (or 16722 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 214430415156 its reverse (651514034412), we get a palindrome (865944449568).

The spelling of 214430415156 in words is "two hundred fourteen billion, four hundred thirty million, four hundred fifteen thousand, one hundred fifty-six".