77728466085241 has 16 divisors (see below), whose sum is σ = 80281085576976. Its totient is φ = 75216101216256.

The previous prime is 77728466085223. The next prime is 77728466085269. The reversal of 77728466085241 is 14258066482777.

It can be written as a sum of positive squares in 8 ways, for example, as 744775904016 + 76983690181225 = 863004^2 + 8774035^2 .

It is a cyclic number.

It is not a de Polignac number, because 77728466085241 - 2¹³ = 77728466077049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77728466085211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 409837351 + ... + 410026963.

It is an arithmetic number, because the mean of its divisors is an integer number (5017567848561).

Almost surely, 2^{77728466085241} is an apocalyptic number.

It is an amenable number.

77728466085241 is a deficient number, since it is larger than the sum of its proper divisors (2552619491735).

77728466085241 is a wasteful number, since it uses less digits than its factorization.

77728466085241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295692.

The product of its (nonzero) digits is 252887040, while the sum is 67.

The spelling of 77728466085241 in words is "seventy-seven trillion, seven hundred twenty-eight billion, four hundred sixty-six million, eighty-five thousand, two hundred forty-one".