77129350461 has 6 divisors (see below), whose sum is σ = 111409061790. Its totient is φ = 51419566968.

The previous prime is 77129350451. The next prime is 77129350477. The reversal of 77129350461 is 16405392177.

77129350461 is a `hidden beast` number, since 77 + 12 + 9 + 3 + 504 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 66982616100 + 10146734361 = 258810^2 + 100731^2 .

It is not a de Polignac number, because 77129350461 - 2¹⁴ = 77129334077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77129350451) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4284963906 + ... + 4284963923.

It is an arithmetic number, because the mean of its divisors is an integer number (18568176965).

Almost surely, 2^77129350461 is an apocalyptic number.

It is an amenable number.

77129350461 is a deficient number, since it is larger than the sum of its proper divisors (34279711329).

77129350461 is a wasteful number, since it uses less digits than its factorization.

77129350461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8569927835 (or 8569927832 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 77129350461 in words is "seventy-seven billion, one hundred twenty-nine million, three hundred fifty thousand, four hundred sixty-one".