2711874014401 has 2 divisors, whose sum is σ = 2711874014402. Its totient is φ = 2711874014400.

The previous prime is 2711874014387. The next prime is 2711874014411. The reversal of 2711874014401 is 1044104781172.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1845576590400 + 866297424001 = 1358520^2 + 930751^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2711874014401 is a prime.

It is not a weakly prime, because it can be changed into another prime (2711874014411) 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, 1355937007200 + 1355937007201.

It is an arithmetic number, because the mean of its divisors is an integer number (1355937007201).

Almost surely, 2^{2711874014401} is an apocalyptic number.

It is an amenable number.

2711874014401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2711874014401 is an equidigital number, since it uses as much as digits as its factorization.

2711874014401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 50176, while the sum is 40.

Adding to 2711874014401 its reverse (1044104781172), we get a palindrome (3755978795573).

The spelling of 2711874014401 in words is "two trillion, seven hundred eleven billion, eight hundred seventy-four million, fourteen thousand, four hundred one".