214356456324 has 120 divisors (see below), whose sum is σ = 573760239360. Its totient is φ = 69746878656.

The previous prime is 214356456323. The next prime is 214356456341. The reversal of 214356456324 is 423654653412.

214356456324 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 5 + 6 + 4 + 5 + 632 + 4 = 666.

214356456324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 214356456324.

It is not an unprimeable number, because it can be changed into a prime (214356456323) 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 39 ways as a sum of consecutive naturals, for example, 28264237 + ... + 28271819.

It is an arithmetic number, because the mean of its divisors is an integer number (4781335328).

Almost surely, 2^214356456324 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 214356456324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286880119680).

214356456324 is an abundant number, since it is smaller than the sum of its proper divisors (359403783036).

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

214356456324 is a wasteful number, since it uses less digits than its factorization.

214356456324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9671 (or 9660 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 45.

The spelling of 214356456324 in words is "two hundred fourteen billion, three hundred fifty-six million, four hundred fifty-six thousand, three hundred twenty-four".