224013416015313 has 12 divisors (see below), whose sum is σ = 326778646465908. Its totient is φ = 147863640933600.

The previous prime is 224013416015297. The next prime is 224013416015369. The reversal of 224013416015313 is 313510614310422.

224013416015313 is a `hidden beast` number, since 2 + 2 + 4 + 0 + 1 + 3 + 41 + 601 + 5 + 3 + 1 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 161174628438849 + 62838787576464 = 12695457^2 + 7927092^2 .

It is not a de Polignac number, because 224013416015313 - 2⁴ = 224013416015297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (224013416015383) 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 11 ways as a sum of consecutive naturals, for example, 123219699870 + ... + 123219701687.

It is an arithmetic number, because the mean of its divisors is an integer number (27231553872159).

Almost surely, 2^{224013416015313} is an apocalyptic number.

It is an amenable number.

224013416015313 is a deficient number, since it is larger than the sum of its proper divisors (102765230450595).

224013416015313 is a wasteful number, since it uses less digits than its factorization.

224013416015313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246439401664 (or 246439401661 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 224013416015313 in words is "two hundred twenty-four trillion, thirteen billion, four hundred sixteen million, fifteen thousand, three hundred thirteen".