2711466126401 has 2 divisors, whose sum is σ = 2711466126402. Its totient is φ = 2711466126400.

The previous prime is 2711466126337. The next prime is 2711466126403. The reversal of 2711466126401 is 1046216641172.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1520661388801 + 1190804737600 = 1233151^2 + 1091240^2 .

It is a cyclic number.

It is not a de Polignac number, because 2711466126401 - 2⁶ = 2711466126337 is a prime.

Together with 2711466126403, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2711466126403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1355733063200 + 1355733063201.

It is an arithmetic number, because the mean of its divisors is an integer number (1355733063201).

Almost surely, 2^{2711466126401} is an apocalyptic number.

It is an amenable number.

2711466126401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2711466126401 is an equidigital number, since it uses as much as digits as its factorization.

2711466126401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96768, while the sum is 41.

The spelling of 2711466126401 in words is "two trillion, seven hundred eleven billion, four hundred sixty-six million, one hundred twenty-six thousand, four hundred one".