4556624612401 has 2 divisors, whose sum is σ = 4556624612402. Its totient is φ = 4556624612400.

The previous prime is 4556624612329. The next prime is 4556624612411. The reversal of 4556624612401 is 1042164266554.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4428503568801 + 128121043600 = 2104401^2 + 357940^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4556624612401 is a prime.

It is not a weakly prime, because it can be changed into another prime (4556624612411) 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 as a sum of consecutive naturals, namely, 2278312306200 + 2278312306201.

It is an arithmetic number, because the mean of its divisors is an integer number (2278312306201).

Almost surely, 2^{4556624612401} is an apocalyptic number.

It is an amenable number.

4556624612401 is a deficient number, since it is larger than the sum of its proper divisors (1).

4556624612401 is an equidigital number, since it uses as much as digits as its factorization.

4556624612401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1382400, while the sum is 46.

Adding to 4556624612401 its reverse (1042164266554), we get a palindrome (5598788878955).

The spelling of 4556624612401 in words is "four trillion, five hundred fifty-six billion, six hundred twenty-four million, six hundred twelve thousand, four hundred one".