114224200435521 has 24 divisors (see below), whose sum is σ = 180365410517760. Its totient is φ = 69082264548000.

The previous prime is 114224200435493. The next prime is 114224200435619. The reversal of 114224200435521 is 125534002422411.

114224200435521 is a `hidden beast` number, since 1 + 1 + 4 + 22 + 42 + 0 + 0 + 43 + 552 + 1 = 666.

It is not a de Polignac number, because 114224200435521 - 2⁵ = 114224200435489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114224200433521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1204315630 + ... + 1204410471.

It is an arithmetic number, because the mean of its divisors is an integer number (7515225438240).

Almost surely, 2^{114224200435521} is an apocalyptic number.

114224200435521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114224200435521 is a deficient number, since it is larger than the sum of its proper divisors (66141210082239).

114224200435521 is a wasteful number, since it uses less digits than its factorization.

114224200435521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408726597 (or 2408726594 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 114224200435521 its reverse (125534002422411), we get a palindrome (239758202857932).

The spelling of 114224200435521 in words is "one hundred fourteen trillion, two hundred twenty-four billion, two hundred million, four hundred thirty-five thousand, five hundred twenty-one".