3518741106401 has 2 divisors, whose sum is σ = 3518741106402. Its totient is φ = 3518741106400.

The previous prime is 3518741106389. The next prime is 3518741106427. The reversal of 3518741106401 is 1046011478153.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3417617742400 + 101123364001 = 1848680^2 + 317999^2 .

It is an emirp because it is prime and its reverse (1046011478153) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3518741106401 - 2²⁶ = 3518673997537 is a prime.

It is a super-2 number, since 2×3518741106401² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3518741108401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1759370553200 + 1759370553201.

It is an arithmetic number, because the mean of its divisors is an integer number (1759370553201).

Almost surely, 2^{3518741106401} is an apocalyptic number.

It is an amenable number.

3518741106401 is a deficient number, since it is larger than the sum of its proper divisors (1).

3518741106401 is an equidigital number, since it uses as much as digits as its factorization.

3518741106401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 80640, while the sum is 41.

The spelling of 3518741106401 in words is "three trillion, five hundred eighteen billion, seven hundred forty-one million, one hundred six thousand, four hundred one".