244040114414313 has 96 divisors (see below), whose sum is σ = 411799792115712. Its totient is φ = 136362282019200.

The previous prime is 244040114414297. The next prime is 244040114414329. The reversal of 244040114414313 is 313414411040442.

244040114414313 is a `hidden beast` number, since 2 + 4 + 40 + 40 + 1 + 144 + 1 + 431 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (244040114414297) and next prime (244040114414329).

It is not a de Polignac number, because 244040114414313 - 2⁴ = 244040114414297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (244040114414363) 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 95 ways as a sum of consecutive naturals, for example, 17644423308 + ... + 17644437138.

It is an arithmetic number, because the mean of its divisors is an integer number (4289581167872).

Almost surely, 2^{244040114414313} is an apocalyptic number.

It is an amenable number.

244040114414313 is a deficient number, since it is larger than the sum of its proper divisors (167759677701399).

244040114414313 is a wasteful number, since it uses less digits than its factorization.

244040114414313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18795 (or 18792 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 244040114414313 its reverse (313414411040442), we get a palindrome (557454525454755).

The spelling of 244040114414313 in words is "two hundred forty-four trillion, forty billion, one hundred fourteen million, four hundred fourteen thousand, three hundred thirteen".