214224142114020 has 48 divisors (see below), whose sum is σ = 599852593726848. Its totient is φ = 57124057344000.

The previous prime is 214224142113983. The next prime is 214224142114027. The reversal of 214224142114020 is 20411241422412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (214224142114027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72940224 + ... + 75820343.

It is an arithmetic number, because the mean of its divisors is an integer number (12496929035976).

Almost surely, 2^{214224142114020} is an apocalyptic number.

214224142114020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214224142114020 is an abundant number, since it is smaller than the sum of its proper divisors (385628451612828).

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

214224142114020 is a wasteful number, since it uses less digits than its factorization.

214224142114020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148784580 (or 148784578 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

Adding to 214224142114020 its reverse (20411241422412), we get a palindrome (234635383536432).

The spelling of 214224142114020 in words is "two hundred fourteen trillion, two hundred twenty-four billion, one hundred forty-two million, one hundred fourteen thousand, twenty".