277777788888961 has 2 divisors, whose sum is σ = 277777788888962. Its totient is φ = 277777788888960.

The previous prime is 277777788888857. The next prime is 277777788888973. The reversal of 277777788888961 is 169888887777772.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 212945258910736 + 64832529978225 = 14592644^2 + 8051865^2 .

It is a cyclic number.

It is not a de Polignac number, because 277777788888961 - 2¹⁹ = 277777788364673 is a prime.

It is not a weakly prime, because it can be changed into another prime (277777788888161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 138888894444480 + 138888894444481.

It is an arithmetic number, because the mean of its divisors is an integer number (138888894444481).

Almost surely, 2^{277777788888961} is an apocalyptic number.

It is an amenable number.

277777788888961 is a deficient number, since it is larger than the sum of its proper divisors (1).

277777788888961 is an equidigital number, since it uses as much as digits as its factorization.

277777788888961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 416353222656, while the sum is 100.

The spelling of 277777788888961 in words is "two hundred seventy-seven trillion, seven hundred seventy-seven billion, seven hundred eighty-eight million, eight hundred eighty-eight thousand, nine hundred sixty-one".