114214340232200 has 192 divisors, whose sum is σ = 287672700268800. Its totient is φ = 41921739878400.

The previous prime is 114214340232191. The next prime is 114214340232211. The reversal of 114214340232200 is 2232043412411.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 352613921 + ... + 352937679.

It is an arithmetic number, because the mean of its divisors is an integer number (1498295313900).

Almost surely, 2^{114214340232200} is an apocalyptic number.

114214340232200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114214340232200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143836350134400).

114214340232200 is an abundant number, since it is smaller than the sum of its proper divisors (173458360036600).

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

114214340232200 is a wasteful number, since it uses less digits than its factorization.

114214340232200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324592 (or 324583 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 114214340232200 its reverse (2232043412411), we get a palindrome (116446383644611).

The spelling of 114214340232200 in words is "one hundred fourteen trillion, two hundred fourteen billion, three hundred forty million, two hundred thirty-two thousand, two hundred".