2906768408101 has 2 divisors, whose sum is σ = 2906768408102. Its totient is φ = 2906768408100.

The previous prime is 2906768408087. The next prime is 2906768408147. The reversal of 2906768408101 is 1018048676092.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1575050100100 + 1331718308001 = 1255010^2 + 1154001^2 .

It is a cyclic number.

It is not a de Polignac number, because 2906768408101 - 2⁷ = 2906768407973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2906768408161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1453384204050 + 1453384204051.

It is an arithmetic number, because the mean of its divisors is an integer number (1453384204051).

Almost surely, 2^{2906768408101} is an apocalyptic number.

It is an amenable number.

2906768408101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2906768408101 is an equidigital number, since it uses as much as digits as its factorization.

2906768408101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1161216, while the sum is 52.

The spelling of 2906768408101 in words is "two trillion, nine hundred six billion, seven hundred sixty-eight million, four hundred eight thousand, one hundred one".