214114322223144 has 192 divisors, whose sum is σ = 698012445911040. Its totient is φ = 57968839209600.

The previous prime is 214114322223133. The next prime is 214114322223173. The reversal of 214114322223144 is 441322223411412.

214114322223144 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 14 + 322 + 2 + 2 + 314 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 214114322223099 and 214114322223108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85072132 + ... + 87552819.

It is an arithmetic number, because the mean of its divisors is an integer number (3635481489120).

Almost surely, 2^{214114322223144} is an apocalyptic number.

214114322223144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214114322223144 is an abundant number, since it is smaller than the sum of its proper divisors (483898123687896).

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

214114322223144 is a wasteful number, since it uses less digits than its factorization.

214114322223144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172625100 (or 172625093 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

Adding to 214114322223144 its reverse (441322223411412), we get a palindrome (655436545634556).

The spelling of 214114322223144 in words is "two hundred fourteen trillion, one hundred fourteen billion, three hundred twenty-two million, two hundred twenty-three thousand, one hundred forty-four".