214134224021024 has 96 divisors (see below), whose sum is σ = 463066995242880. Its totient is φ = 97020266821632.

The previous prime is 214134224021023. The next prime is 214134224021033. The reversal of 214134224021024 is 420120422431412.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (214134224021023) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1261509662 + ... + 1261679394.

It is an arithmetic number, because the mean of its divisors is an integer number (4823614533780).

Almost surely, 2^{214134224021024} is an apocalyptic number.

It is an amenable number.

214134224021024 is an abundant number, since it is smaller than the sum of its proper divisors (248932771221856).

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

214134224021024 is a wasteful number, since it uses less digits than its factorization.

214134224021024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260002 (or 259994 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 214134224021024 its reverse (420120422431412), we get a palindrome (634254646452436).

The spelling of 214134224021024 in words is "two hundred fourteen trillion, one hundred thirty-four billion, two hundred twenty-four million, twenty-one thousand, twenty-four".