214120142134344 has 48 divisors (see below), whose sum is σ = 580347710755020. Its totient is φ = 71319350868480.

The previous prime is 214120142134337. The next prime is 214120142134351. The reversal of 214120142134344 is 443431241021412.

214120142134344 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 2 + 0 + 1 + 4 + 213 + 434 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (214120142134337) and next prime (214120142134351).

It can be written as a sum of positive squares in 2 ways, for example, as 171247635890244 + 42872506244100 = 13086162^2 + 6547710^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 214120142134299 and 214120142134308.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1125525957 + ... + 1125716180.

Almost surely, 2^{214120142134344} is an apocalyptic number.

214120142134344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214120142134344 is an abundant number, since it is smaller than the sum of its proper divisors (366227568620676).

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

214120142134344 is a wasteful number, since it uses less digits than its factorization.

214120142134344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251243470 (or 2251243463 counting only the distinct ones).

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

Adding to 214120142134344 its reverse (443431241021412), we get a palindrome (657551383155756).

The spelling of 214120142134344 in words is "two hundred fourteen trillion, one hundred twenty billion, one hundred forty-two million, one hundred thirty-four thousand, three hundred forty-four".