114245203105530 has 384 divisors, whose sum is σ = 348085179187200. Its totient is φ = 25458095480832.

The previous prime is 114245203105499. The next prime is 114245203105567. The reversal of 114245203105530 is 35501302542411.

114245203105530 is a `hidden beast` number, since 1 + 1 + 4 + 24 + 52 + 0 + 31 + 0 + 553 + 0 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22059314481 + ... + 22059319659.

It is an arithmetic number, because the mean of its divisors is an integer number (906471820800).

Almost surely, 2^{114245203105530} is an apocalyptic number.

114245203105530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114245203105530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174042589593600).

114245203105530 is an abundant number, since it is smaller than the sum of its proper divisors (233839976081670).

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

114245203105530 is a wasteful number, since it uses less digits than its factorization.

114245203105530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10058 (or 10055 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 114245203105530 its reverse (35501302542411), we get a palindrome (149746505647941).

The spelling of 114245203105530 in words is "one hundred fourteen trillion, two hundred forty-five billion, two hundred three million, one hundred five thousand, five hundred thirty".