77748142617 has 24 divisors (see below), whose sum is σ = 113121380424. Its totient is φ = 51455222784.

The previous prime is 77748142597. The next prime is 77748142639. The reversal of 77748142617 is 71624184777.

77748142617 is a `hidden beast` number, since 7 + 7 + 7 + 4 + 8 + 14 + 2 + 617 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2648028681 + 75100113936 = 51459^2 + 274044^2 .

It is not a de Polignac number, because 77748142617 - 2¹⁶ = 77748077081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (77748162617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1010763 + ... + 1084959.

It is an arithmetic number, because the mean of its divisors is an integer number (4713390851).

Almost surely, 2^77748142617 is an apocalyptic number.

It is an amenable number.

77748142617 is a deficient number, since it is larger than the sum of its proper divisors (35373237807).

77748142617 is a wasteful number, since it uses less digits than its factorization.

77748142617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75049 (or 75046 counting only the distinct ones).

The product of its digits is 3687936, while the sum is 54.

The spelling of 77748142617 in words is "seventy-seven billion, seven hundred forty-eight million, one hundred forty-two thousand, six hundred seventeen".