224004024000141 has 96 divisors (see below), whose sum is σ = 383318395004160. Its totient is φ = 113872068034560.

The previous prime is 224004024000137. The next prime is 224004024000143. The reversal of 224004024000141 is 141000420400422.

224004024000141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 224004024000141 - 2² = 224004024000137 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224004024000143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16830705 + ... + 27042201.

It is an arithmetic number, because the mean of its divisors is an integer number (3992899947960).

Almost surely, 2^{224004024000141} is an apocalyptic number.

224004024000141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

224004024000141 is a deficient number, since it is larger than the sum of its proper divisors (159314371004019).

224004024000141 is a wasteful number, since it uses less digits than its factorization.

224004024000141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10211715 (or 10211704 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 224004024000141 its reverse (141000420400422), we get a palindrome (365004444400563).

The spelling of 224004024000141 in words is "two hundred twenty-four trillion, four billion, twenty-four million, one hundred forty-one", and thus it is an aban number.