114024412114200 has 768 divisors, whose sum is σ = 484524488448000. Its totient is φ = 24069915555840.

The previous prime is 114024412114189. The next prime is 114024412114273. The reversal of 114024412114200 is 2411214420411.

114024412114200 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 2 + 441 + 2 + 1 + 14 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22951342 + ... + 27473858.

It is an arithmetic number, because the mean of its divisors is an integer number (630891261000).

Almost surely, 2^{114024412114200} is an apocalyptic number.

114024412114200 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 114024412114200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242262244224000).

114024412114200 is an abundant number, since it is smaller than the sum of its proper divisors (370500076333800).

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

114024412114200 is a wasteful number, since it uses less digits than its factorization.

114024412114200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4522601 (or 4522586 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 114024412114200 its reverse (2411214420411), we get a palindrome (116435626534611).

The spelling of 114024412114200 in words is "one hundred fourteen trillion, twenty-four billion, four hundred twelve million, one hundred fourteen thousand, two hundred".