18553037126401 has 2 divisors, whose sum is σ = 18553037126402. Its totient is φ = 18553037126400.

The previous prime is 18553037126341. The next prime is 18553037126423. The reversal of 18553037126401 is 10462173035581.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14513242640625 + 4039794485776 = 3809625^2 + 2009924^2 .

It is a cyclic number.

It is not a de Polignac number, because 18553037126401 - 2³⁵ = 18518677388033 is a prime.

It is a super-2 number, since 2×18553037126401² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (18553037126431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9276518563200 + 9276518563201.

It is an arithmetic number, because the mean of its divisors is an integer number (9276518563201).

Almost surely, 2^{18553037126401} is an apocalyptic number.

It is an amenable number.

18553037126401 is a deficient number, since it is larger than the sum of its proper divisors (1).

18553037126401 is an equidigital number, since it uses as much as digits as its factorization.

18553037126401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 604800, while the sum is 46.

The spelling of 18553037126401 in words is "eighteen trillion, five hundred fifty-three billion, thirty-seven million, one hundred twenty-six thousand, four hundred one".