5624416564001 has 2 divisors, whose sum is σ = 5624416564002. Its totient is φ = 5624416564000.

The previous prime is 5624416563979. The next prime is 5624416564139. The reversal of 5624416564001 is 1004656144265.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3169115600401 + 2455300963600 = 1780201^2 + 1566940^2 .

It is a cyclic number.

It is not a de Polignac number, because 5624416564001 - 2⁶ = 5624416563937 is a prime.

It is not a weakly prime, because it can be changed into another prime (5624416563001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2812208282000 + 2812208282001.

It is an arithmetic number, because the mean of its divisors is an integer number (2812208282001).

Almost surely, 2^{5624416564001} is an apocalyptic number.

It is an amenable number.

5624416564001 is a deficient number, since it is larger than the sum of its proper divisors (1).

5624416564001 is an equidigital number, since it uses as much as digits as its factorization.

5624416564001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 691200, while the sum is 44.

The spelling of 5624416564001 in words is "five trillion, six hundred twenty-four billion, four hundred sixteen million, five hundred sixty-four thousand, one".