77611466126401 has 2 divisors, whose sum is σ = 77611466126402. Its totient is φ = 77611466126400.

The previous prime is 77611466126393. The next prime is 77611466126417. The reversal of 77611466126401 is 10462166411677.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71015424514225 + 6596041612176 = 8427065^2 + 2568276^2 .

It is a cyclic number.

It is not a de Polignac number, because 77611466126401 - 2³ = 77611466126393 is a prime.

It is not a weakly prime, because it can be changed into another prime (77611466126471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38805733063200 + 38805733063201.

It is an arithmetic number, because the mean of its divisors is an integer number (38805733063201).

Almost surely, 2^{77611466126401} is an apocalyptic number.

It is an amenable number.

77611466126401 is a deficient number, since it is larger than the sum of its proper divisors (1).

77611466126401 is an equidigital number, since it uses as much as digits as its factorization.

77611466126401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2032128, while the sum is 52.

The spelling of 77611466126401 in words is "seventy-seven trillion, six hundred eleven billion, four hundred sixty-six million, one hundred twenty-six thousand, four hundred one".